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German mathematician (1911–1991)
Ernst Witt (26 June 1911 – 3 July 1991) was a German mathematician, one of the leading algebraists of his time. Witt was born on the island of Alsen, then
Ernst_Witt
Algebra of meromorphic vector fields on the Riemann sphere
In mathematics, the complex Witt algebra, named after Ernst Witt, is the Lie algebra of meromorphic vector fields defined on the Riemann sphere that are
Witt_algebra
after Ernst Witt, a German mathematician. Bourbaki–Witt theorem Hall–Witt identity Hasse–Witt matrix Hasse–Witt invariant Poincaré–Birkhoff–Witt theorem
List of things named after Ernst Witt
List_of_things_named_after_Ernst_Witt
Basic result in the algebraic theory of quadratic forms, on extending isometries
theorem of order theory. In mathematics, Witt's theorem, named after Ernst Witt, is a basic result in the algebraic theory of quadratic forms: any isometry
Witt's_theorem
Explicitly describes the universal enveloping algebra of a Lie algebra
Lie algebra. It is named after Henri Poincaré, Garrett Birkhoff, and Ernst Witt. The terms PBW type theorem and PBW theorem may also refer to various
Poincaré–Birkhoff–Witt theorem
Poincaré–Birkhoff–Witt_theorem
Algebra term
In mathematics, a Witt group of a field, named after Ernst Witt, is an abelian group whose elements are represented by symmetric bilinear forms over the
Witt_group
Mathematical concept named for Ernst Witt
mathematics, a Witt vector is an infinite sequence of elements of a commutative ring. Ernst Witt showed how to put a ring structure on the set of Witt vectors
Witt_vector
German Nazi politician and military leader (1893–1946)
at the Marienbad Sanatorium in Rosenheim, Bavaria. His father, Heinrich Ernst Göring (31 October 1839 – 7 December 1913), a former cavalry officer, had
Hermann_Göring
Fixed-point theorem
In mathematics, the Bourbaki–Witt theorem in order theory, named after Nicolas Bourbaki and Ernst Witt, is a basic fixed-point theorem for partially ordered
Bourbaki–Witt_theorem
24-dimensional repeating pattern of points
Leech (1967). It may also have been discovered (but not published) by Ernst Witt in 1940. The Leech lattice Λ24 is the unique lattice in 24-dimensional
Leech_lattice
Hasse–Witt invariant) of a quadratic form Q over a field K takes values in the Brauer group Br(K). The name "Hasse–Witt" comes from Helmut Hasse and Ernst Witt
Hasse invariant of a quadratic form
Hasse_invariant_of_a_quadratic_form
German noble and officer (1901–1943)
Prince Christoph of Hesse (Christoph Ernst August; 14 May 1901 – 7 October 1943) was a nephew of Kaiser Wilhelm II. He was an SS-Oberführer in the Allgemeine
Prince_Christoph_of_Hesse
Pedoe (1910–1998) Shiing-Shen Chern (1911–2004) – differential geometry Ernst Witt (1911–1991) Rafael Artzy (1912–2006) Aleksandr Danilovich Aleksandrov
List_of_geometers
German general (1886–1944)
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Erich_Fellgiebel
Construction providing a total order on a free monoid
motivated by commutator identities in group theory due to Philip Hall and Ernst Witt. The setting for this article is the free magma in n {\displaystyle n}
Hall_word
Sporadic simple group
matter was clarified when Ernst Witt constructed M24 as the automorphism (symmetry) group of an S(5,8,24) Steiner system W24 (the Witt design). M24 is the group
Mathieu_group_M24
23 mathematical problems stated in 1900
principle. His theory was later extended and simplified in 1937 by Ernst Witt using Witt rings. 1924, 1937 12th Extend the Kronecker–Weber theorem on abelian
Hilbert's_problems
German mathematician (1913–1943)
involved in cryptographic work along with other mathematicians such as Ernst Witt, Georg Aumann, Alexander Aigner and Wolfgang Franz in the Cipher Department
Oswald_Teichmüller
German armed forces intelligence service (1920–1944)
were discovered by the Gestapo, and under the supervision of the SD Chief Ernst Kaltenbrunner, they were taken to Schloss Mittersill in the Tyrol and burned
Abwehr
German mathematician and Nazi
five mathematicians, recruited by Wilhelm Fenner, and which included Ernst Witt, Georg Aumann, Alexander Aigner, Oswald Teichmueller and Johann Friedrich
Werner_Weber_(mathematician)
German mathematician (1882–1935)
ring theory. Other "Noether Boys" included Max Deuring, Hans Fitting, Ernst Witt, Chiungtze C. Tsen, and Otto Schilling. Deuring, who had been considered
Emmy_Noether
German mathematician
five mathematicians, recruited by Wilhelm Fenner, and which included Ernst Witt, Georg Aumann, Alexander Aigner, Oswald Teichmüller and Johann Friedrich
Wolfgang Franz (mathematician)
Wolfgang_Franz_(mathematician)
result concerning commutators. It is a consequence of Philip Hall and Ernst Witt's eponymous identity. In what follows, the following notation will be employed:
Three_subgroups_lemma
German mathematician
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Karl_Stein_(mathematician)
Operation measuring the failure of two entities to commute
x^{y}\right]=1.} Identity (5) is also known as the Hall–Witt identity, after Philip Hall and Ernst Witt. It is a group-theoretic analogue of the Jacobi identity
Commutator
Non-abelian group of order eight
in attempting to relate the quaternion group to Galois theory. In 1936 Ernst Witt published his approach to the quaternion group through Galois theory.
Quaternion_group
Mathematic theory
theory in positive characteristic was developed one decade earlier by Ernst Witt, Wilfried Schmid, and Oswald Teichmüller. Iwasawa–Tate theory uses several
Tate's_thesis
the dimension of the piece of the free Lie algebra of any given degree. Ernst Witt showed that the number of basic commutators of degree k in the free Lie
Free_Lie_algebra
List of things named after Norbert Wiener List of things named after Ernst Witt List of mathematical reference tables List of moments of inertia Table
Lists_of_mathematics_topics
German general and resistance member (1894–1944)
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Fritz_Thiele
German mathematician (1905–1977)
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Karl_Schröter
German mathematician
five mathematicians, recruited by Wilhelm Fenner, and which included Ernst Witt, Alexander Aigner, Oswald Teichmueller and Johann Friedrich Schultze,
Georg_Aumann
Algebraic structure also called skew field
All finite division rings are commutative and therefore finite fields. (Ernst Witt gave a simple proof.) Frobenius theorem: The only finite-dimensional associative
Division_ring
German mathematician
Her dissertation, p-Algebren über semilokalen Ringen, was supervised by Ernst Witt. She completed a habilitation at the University of Regensburg in 1983
Ina_Kersten
of topological vector spaces. Ernst Witt German, Mathematician at OKW. Mathematical Discoveries Named After Ernst Witt. Helmut Grunsky German, worked
List_of_cryptographers
Ivar Otto Bendixson Poincaré–Birkhoff–Witt theorem Mathematics Henri Poincaré, George David Birkhoff, and Ernst Witt Poincaré–Hopf theorem Mathematics Henri
List of scientific laws named after people
List_of_scientific_laws_named_after_people
Mathematical problem in spectral theory
articles. In 1964, John Milnor observed that a theorem on lattices due to Ernst Witt implied the existence of a pair of 16-dimensional flat tori that have
Hearing_the_shape_of_a_drum
American mathematician (1879–1967)
Theory of Groups of Finite Order, but the structure is often named after Ernst Witt, who rediscovered it in 1938.[citation needed] While at Indiana University
Robert_Daniel_Carmichael
Anna Wienhard Hermann Wilken Rudolf Wille Thomas Willwacher Ernst Eduard Wiltheiss Ernst Witt Alexander Witting Franz Woepcke Barbara Wohlmuth Paul Wolfskehl
List_of_German_mathematicians
Surname list
astronomer Christian Friedrich Witt (1660s–1716), German baroque composer Ernst Witt (1911–1991), German mathematician Franz Xaver Witt (1834–1888), German composer
Witt_(surname)
German mathematician (1938–2025)
1964 in Hamburg, he received his doctoral degree (Dr. rer. nat.) under Ernst Witt with a thesis Über die Galoiskohomologie der Tori. Two years later, he
Günter_Harder
German admiral (1889–1945)
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Kurt_Fricke
Austrian mathematician (1905–1989)
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Gottfried_Köthe
Result in algebra
correct proof. A simplified version of the proof was later given by Ernst Witt. Witt's proof is sketched below. Alternatively, the theorem is a consequence
Wedderburn's_little_theorem
German Signal Intelligence Agency
Topological Vector Spaces Ernst Witt - Member of Mathematical Research department. Mathematical Discoveries Named After Ernst Witt Helmut Grunsky - He worked
Cipher Department of the High Command of the Wehrmacht
Cipher_Department_of_the_High_Command_of_the_Wehrmacht
German general (1894–1975)
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Albert_Praun
German general (1891–1963)
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Wolfgang_Martini
German mathematician (1919–2006)
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Gisbert_Hasenjaeger
introduction, is natural in classical terms, and is due to Helmut Hasse and Ernst Witt (1936). It provides a solution to the question of the p-rank of the Jacobian
Hasse–Witt_matrix
Theorem in group theory
by Feit and Thompson. Ernst Witt showed that it would also follow from the Schreier conjecture (see Witt (1998, p.277) for Witt's unpublished 1937 note
Schur–Zassenhaus_theorem
Aspect of mathematical group theory
120/20 = 6 elements (or by conjugation, which yields the action above). Ernst Witt found a copy of Aut(S6) in the Mathieu group M12 (a subgroup T isomorphic
Automorphisms of the symmetric and alternating groups
Automorphisms_of_the_symmetric_and_alternating_groups
German Reichsmarine and intelligence officer
organization between 1933 and 1935. Schimpf was the son of the entrepreneur Ernst Schimpf and Rosa Helene Schimpf née Fink. He had a sister Elisabeth Eugenie
Hans_Schimpf
British/Swiss missionary
in der Gefangenschaft der Roten. Aus dem Englischen übersetzt von Dr. Ernst Witt. Bad Liebenzell: Buchhandlung der Liebenzeller Mission 1937 (156 S., einige
Rudolf_Alfred_Bosshardt
German mathematician (1877 - 1954)
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Georg_Hamel
German signals officer
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Wilhelm_Gimmler
Austrian mathematician
recruited by the military cryptanalyst Wilhelm Fenner, and which included Ernst Witt, Georg Aumann, Oswald Teichmueller and Johann Friedrich Schultze, to form
Alexander_Aigner
Department of the German Naval Intelligence Service
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
B-Dienst
German mathematician (born 1945)
his PhD in 1973 from the University of Hamburg under the direction of Ernst Witt with a thesis titled Wesentliche ganze Erweiterungen kommutativer Ringe
Walter_Borho
German naval officer
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Fritz_Krauss
Signals intelligence and cryptanalytic agency of the German Nazi Party
to Himmler. The first major operation of the FA was the surveillance of Ernst Röhm, the co-founder of the Sturmabteilung (SA; Storm Detachment), the Nazi
Research Office of the Reich Air Ministry
Research_Office_of_the_Reich_Air_Ministry
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Erich_Hüttenhain
Academic journal
international collaborators (Wilhelm Blaschke, Hugo Hadwiger, Gaston Julia or Ernst Witt), the journal reached a central role in the Spanish scientific publications
Collectanea_Mathematica
Linear operators with a common spectrum
flat tori of 16 dimension, using arithmetic lattices first studied by Ernst Witt. After this example, many isospectral pairs in dimension two and higher
Isospectral
German logician
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Heinrich_Scholz
German philosopher
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Bruno_von_Freytag-Löringhoff
Creating a "larger" Lie algebra from a smaller one, in one of several ways
obviously identical to the polynomial loop algebra of above. The Witt algebra, named after Ernst Witt, is the complexification of the Lie algebra VectS1 of smooth
Lie_algebra_extension
Positive-definite integral set of repeated points with Abelian group-rank 24
ISSN 0371-9685, MR 0558941 English translation in Conway & Sloane (1998) Witt, Ernst (1941), "Eine Identität zwischen Modulformen zweiten Grades", Abhandlungen
Niemeier_lattice
German mathematician
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Willi_Rinow
German composer, music editor and teacher (1660–1716)
Christian Friedrich Witt was born in Altenburg, where his father, Johann Ernst Witt, was court organist; he had come from Denmark around 1650 when a Danish
Christian_Friedrich_Witt
German mathematician (1894–1968)
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Guido_Hoheisel
Cryptanalyst, mathematician and professor
Walter Ernst Fricke (1 April 1915 – 21 March 1988) was a distinguished German professor of theoretical astronomy at the University of Heidelberg. He was
Walter_Fricke
Signals agency of the German Foreign Office
TICOM (the United States Target Intelligence Committee). Senior Specialist Ernst Hoffman had seniority going back to 1919. From 1940, he was head of the
Pers_Z_S
Branch of Galois theory in mathematics
Springer-Verlag, ISBN 978-3-540-66671-4, MR 1737196, Zbl 0948.11001 Section VI.1 Witt, Ernst (1936), "Zyklische Körper und Algebren der Characteristik p vom Grad
Artin–Schreier_theory
German mathematician (1885–1965)
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Friedrich_Böhm
German mathematician
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Horst_Schubert
official. Bernard Waley-Cohen, 77, British businessman and politician. Ernst Witt, 80, German mathematician. Victor Chang, 54, Chinese-Australian surgeon
Deaths_in_July_1991
German mathematician and topologist
Begehr, Heinrich; Koch, Helmut; Kramer, Jürg; Schappacher, Norbert; Thiele, Ernst-Jochen (eds.). Mathematics in Berlin. Basel: Birkhäuser. pp. 189–190. doi:10
Erika_Pannwitz
German mathematician (1904–1986)
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Helmut_Grunsky
German career signals officer
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Ludwig_Stummel
Italian non-profit research institution
John Lighton Synge, Louis Mordell, Rolf Nevanlinna, Richard von Mises, Ernst Witt, Henri Cartan, Jacques Tits, Jean Dieudonné, Victor Kac, Francis Clarke
Istituto Nazionale di Alta Matematica Francesco Severi
Istituto_Nazionale_di_Alta_Matematica_Francesco_Severi
German cryptanalyst (born 1891)
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Wilhelm_Tranow
Peer-reviewed mathematics journal published by Springer Science+Business Media
Hans Rademacher, Johann Radon, Leopold Schmetterer, Emanuel Sperner, Ernst Witt, and Hans Zassenhaus. Starting with volume 37, a pair of managing editors
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
Abhandlungen_aus_dem_Mathematischen_Seminar_der_Universität_Hamburg
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Peter_Novopashenny
Chinese mathematician (1898–1940)
results therein were rediscovered by Serge Lang in his dissertation. Ernst Witt, who was Tsen's friend and had also been a student of Noether, always
Chiungtze_C._Tsen
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Fritz_Menzer
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Gottfried_Schapper
German mathematician
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Hans_Pietsch_(mathematician)
Serbo-Croatian interpreter and cryptographer
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Rudolf_Bailovic
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Alfred_Kneschke
German mathematician
recruited Werner Kunze, Adolf Paschke, Karl Zastrow, Wilhelm Brandes, and Ernst Hoffmann for the unit as he had known them during the war. Although he did
Rudolf_Schauffler
German actuarial mathematician and economist
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Hans-Peter_Luzius
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Wilhelm_Vauck
German mathematician (1910–1991)
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Otto_Buggisch
German military personnel
Kriegsgefangenen des Zweiten Weltkriegs (in German). Vol. Band 12. Bielefeld: Verlag Ernst und Werner Gieseking. pp. 227–232. Bonatz, Heinz (1970). Die deutsche
Heinz_Bonatz
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
General der Nachrichtenaufklärung Training Referat
General_der_Nachrichtenaufklärung_Training_Referat
German mathematician (1911–1980)
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Rudolf_Kochendörffer
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Curt_Selchow
German mechanical engineer (1887–1976)
(with Otto Föppl) and co-author of Drang und Zwang. Ludwig, Föppl; Mönch, Ernst (1950). Praktische Spannungsoptik (in German) (3rd ed.). Berlin, Heidelberg:
Ludwig_Föppl
German mathematician
on my nerves One of the people that Rohrbach saved was the mathematician Ernst Max Mohr from execution. On 12 May 1944 Mohr was arrested by the Gestapo
Hans_Rohrbach
Gisbert Hasenjaeger Heinrich Scholz Werner Liebknecht Gottfried Köthe Ernst Witt Helmut Grunsky Georg Hamel Georg Aumann Oswald Teichmüller Alexander Aigner
Otto_Leiberich
travel, tourism, insurance
ERNST WITT
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ERNST WITT
ERNST WITT
ERNST WITT
ERNST WITT
ERNST WITT
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