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SPECHT MODULE

  • Specht module
  • Representation of symmetric groups

    In mathematics, a Specht module is one of the representations of symmetric groups studied by Wilhelm Specht (1935). They are indexed by partitions, and

    Specht module

    Specht_module

  • Brauer algebra
  • Associative algebra introduced by Richard Brauer

    {\displaystyle kB_{n,\ell }} is a right S ℓ {\displaystyle S_{\ell }} -module. Given a Specht module V λ {\displaystyle V_{\lambda }} of k S ℓ {\displaystyle kS_{\ell

    Brauer algebra

    Brauer_algebra

  • Garnir relations
  • expressing a basis of the Specht modules Vλ in terms of standard polytabloids. Given an integer partition λ of n, one has the Specht module Vλ. In characteristic

    Garnir relations

    Garnir_relations

  • Wilhelm Specht
  • German mathematician

    Ludwig Specht (22 September 1907, Rastatt – 19 February 1985) was a German mathematician who introduced Specht modules. He also proved the Specht criterion

    Wilhelm Specht

    Wilhelm Specht

    Wilhelm_Specht

  • Representation theory of the symmetric group
  • Area of mathematics

    general be irreducible. The modules so constructed are called Specht modules, and every irreducible does arise inside some such module. There are now fewer irreducibles

    Representation theory of the symmetric group

    Representation_theory_of_the_symmetric_group

  • Schur functor
  • Certain functors from the category of modules over a fixed commutative ring to itself

    }V)\otimes \operatorname {Specht} (\lambda )} where Specht ⁡ ( λ ) {\displaystyle \operatorname {Specht} (\lambda )} is the Specht module indexed by λ. Schur

    Schur functor

    Schur_functor

  • Hook length formula
  • Mathematical formula for the number of Young tableaux

    by partitions λ {\displaystyle \lambda } of n {\displaystyle n} (see Specht module) . Their characters are related to the theory of symmetric functions

    Hook length formula

    Hook_length_formula

  • Partition algebra
  • Algebraic structure

    partition algebra. For example, the Brauer-Specht modules of the Brauer algebra are built from Specht modules, and certain sets of partitions. In the case

    Partition algebra

    Partition_algebra

  • Kronecker coefficient
  • Of a Kronecker product (combinatorics)

    introduced by Murnaghan in 1938. Given a partition λ of n, write Vλ for the Specht module associated to λ. Then the Kronecker coefficients gλμν are given by the

    Kronecker coefficient

    Kronecker_coefficient

  • Young symmetrizer
  • Element of the group algebra of a symmetric group

    functions on Young tableau and the resulting representations are called Specht modules which again construct all complex irreducible representations of the

    Young symmetrizer

    Young_symmetrizer

  • Categorification
  • Connects set theory with category theory

    representations of the symmetric group. The decategorification map sends the Specht module indexed by partition λ {\displaystyle \lambda } to the Schur function

    Categorification

    Categorification

  • Glossary of representation theory
  • ↦ g ⋅ v {\displaystyle g\mapsto g\cdot v} is a smooth function. Specht Specht module Steinberg Steinberg representation. subrepresentation A subrepresentation

    Glossary of representation theory

    Glossary_of_representation_theory

  • Representation theory of finite groups
  • Representations of finite groups, particularly on vector spaces

    representation corresponding to such a partition (or Young tableau) is called a Specht module. Representations of different symmetric groups are related: any representation

    Representation theory of finite groups

    Representation_theory_of_finite_groups

  • Cellular algebra
  • Term in abstract algebra

    W(\lambda )} becomes an A {\displaystyle A} -left module. These modules generalize the Specht modules for the symmetric group and the Hecke-algebras of

    Cellular algebra

    Cellular_algebra

  • Symmetric group
  • Type of group in abstract algebra

    general be irreducible. The modules so constructed are called Specht modules, and every irreducible does arise inside some such module. There are now fewer irreducibles

    Symmetric group

    Symmetric group

    Symmetric_group

  • Generalized symmetric group
  • Wreath product of cyclic group m and symmetrical group n

    symmetric group, the representations can be constructed in terms of Specht modules; see (Can 1996). The first group homology group – concretely, the abelianization

    Generalized symmetric group

    Generalized_symmetric_group

  • Norman L. Biggs
  • British mathematician

    H Klin and P Reinfeld), Europ. J. Combinatorics 25 (2004) 147–160. 'Specht modules and chromatic polynomials', Journal of Combinatorial Theory, Series

    Norman L. Biggs

    Norman_L._Biggs

  • Volodymyr Mazorchuk
  • Ukrainian-Swedish mathematician

    Volodymyr; Stroppel, Catharina (2007). "A categorification of integral Specht modules" (PDF). Proceedings of the American Mathematical Society. 136 (4): 1163–1169

    Volodymyr Mazorchuk

    Volodymyr_Mazorchuk

  • Michael Ruppert
  • American writer and investigative journalist

    C-SPAN 1996. Catsoulis 2009. Ruppert n.d. Ruppert 2006a. Plain 2006. Specht 2009b. Specht 2009a. Ruppert 2006b. Kohlman 2006. Ebiri 2009. Ruppert 2009b. Ruppert

    Michael Ruppert

    Michael_Ruppert

  • Challenger 1
  • UK main battle tank

    Fighting-Vehicles.com. Retrieved 25 January 2023. Meiritz, Annett; Murphy, Martin; Specht, Frank; Waschinski, Gregor (20 January 2023). "Deutsche Industrie bietet

    Challenger 1

    Challenger 1

    Challenger_1

  • Honda Civic (seventh generation)
  • Motor vehicle

    Brochure Collection Ph. June 24, 2022. "Civic 2.0 i-VTEC Full Review". Specht, Michael (2005-03-15). "Auf die dezente Art" [In a subtle way]. AutoBild

    Honda Civic (seventh generation)

    Honda Civic (seventh generation)

    Honda_Civic_(seventh_generation)

  • Northrop B-2 Spirit
  • American heavy strategic bomber

    Aviation Week & Space Technology. Retrieved 13 September 2009.[dead link] Specht, Wayne (16 January 2003). "Portable B-2 bomber shelters are built ... in

    Northrop B-2 Spirit

    Northrop B-2 Spirit

    Northrop_B-2_Spirit

  • Trace (linear algebra)
  • Sum of elements on the main diagonal

    Characteristic function Field trace Golden–Thompson inequality Singular trace Specht's theorem Trace identity Trace inequalities von Neumann's trace inequality

    Trace (linear algebra)

    Trace_(linear_algebra)

  • Issai Schur
  • Russian and German mathematician (1875–1941)

    Jacob Schoenberg, Alexandru Ioan Cuza University of Iaşi (1926) Wilhelm Specht, University of Berlin (1932) Helmut Wielandt, University of Berlin (1935)

    Issai Schur

    Issai Schur

    Issai_Schur

  • List of women composers by birth date
  • Fréd. de Faye-Jozin) Nellie von Gerichten Smith (1871–1952) Anita Socola Specht (1871–1958) Florence Turner-Maley (1871–1962) Jane Vieu (1871–1955) Bessie

    List of women composers by birth date

    List of women composers by birth date

    List_of_women_composers_by_birth_date

  • Cellulose synthase (UDP-forming)
  • Cellulose synthesizing enzyme in plants and bacteria

    131R. doi:10.1007/BF00387719. PMID 24477398. S2CID 9301110. Carroll A, Specht CD (2011). "Understanding Plant Cellulose Synthases through a Comprehensive

    Cellulose synthase (UDP-forming)

    Cellulose synthase (UDP-forming)

    Cellulose_synthase_(UDP-forming)

  • Comrex
  • American technology corporation

    successor Tom Hartnett, in partnership with company co-director Kristine Bobo Specht, developed BRIC (Broadcast Reliable Internet Codec) technology. A full-featured

    Comrex

    Comrex

  • List of theorems
  • Rouché–Capelli theorem (Linear algebra) Sinkhorn's theorem (matrix theory) Specht's theorem (matrix theory) Spectral theorem (linear algebra, functional analysis)

    List of theorems

    List_of_theorems

  • List of mass spectrometry software
  • Barth, Johannes; Niehues, Anna; Specht, Michael; Hippler, Michael; Fufezan, Christian (2012). "pymzML – Python module for high throughput bioinformatics

    List of mass spectrometry software

    List_of_mass_spectrometry_software

  • Amira (software)
  • Software platform for 3D and 4D data visualization

    138 (1): 159–167. doi:10.1242/dev.051086. PMC 2998169. PMID 21138978. Specht, M.; Lebrun, R.; Zollikofer, C.P.E. (2007). "Visualizing shape transformation

    Amira (software)

    Amira (software)

    Amira_(software)

  • 2011 in science
  • Capturing Carbon Dioxide From Air". The New York Times. Retrieved 2024-09-05. Specht, Holger P.; Nölleke, Christian; Reiserer, Andreas; et al. (2011). "A single-atom

    2011 in science

    2011 in science

    2011_in_science

  • Grundlehren der mathematischen Wissenschaften
  • Series of advanced mathematics textbooks

    Theodor Schneider: Einführung in die transzendenten Zahlen. 1956 Wilhelm Specht: Gruppentheorie. 1956 Ludwig Bieberbach: Einführung in die Theorie der

    Grundlehren der mathematischen Wissenschaften

    Grundlehren_der_mathematischen_Wissenschaften

  • Knight Rider season 2
  • Season of the 1980s television series Knight Rider

    30 8 "Custom K.I.T.T." Georg Fenady Story by : William Schmidt & Robert Specht Teleplay by : William Schmidt November 13, 1983 (1983-11-13) 57821 A rare

    Knight Rider season 2

    Knight_Rider_season_2

  • Hyperoctahedral group
  • Group of symmetries of an n-dimensional hypercube

    theory of symmetric groups. This was subsequently generalized by Wilhelm Specht to the representation theory of more general wreath products. Concretely

    Hyperoctahedral group

    Hyperoctahedral group

    Hyperoctahedral_group

  • Frank Hurley: The Man who Made History
  • 2004 film

    Savages. To show the marketability of his deceit though, archaeologist Dr Jim Specht explains that his claim was "silly but for marketing it was brilliant."

    Frank Hurley: The Man who Made History

    Frank_Hurley:_The_Man_who_Made_History

  • Cluster of Excellence Frankfurt Macromolecular Complexes
  • PMID 21341754. Fichte MA, Weyel XM, Junek S, Schäfer F, Herbivo C, Goeldner M, Specht A, Wachtveitl J, Heckel A (2016). "Three-dimensional control of DNA hybridization

    Cluster of Excellence Frankfurt Macromolecular Complexes

    Cluster_of_Excellence_Frankfurt_Macromolecular_Complexes

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