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In mathematics, a prehomogeneous vector space (PVS) is a finite-dimensional vector space V together with a subgroup G of the general linear group GL(V)
Prehomogeneous_vector_space
Topological space in group theory
projective space. There are many further homogeneous spaces of the classical linear groups in common use in mathematics. The idea of a prehomogeneous vector space
Homogeneous_space
Relation between Lie algebras depicted as a square
the stabilizer of a generic 3-form on a 7-dimensional vector space – see prehomogeneous vector space). See history for context and motivation. These were
Freudenthal_magic_square
Japanese mathematician (1928–2023)
known for his innovative work in a number of fields, such as prehomogeneous vector spaces and Bernstein–Sato polynomials; and particularly for his hyperfunction
Mikio_Sato
Polynomial related to differential operators
Shintani, Takuro (June 1972). "On Zeta Functions Associated with Prehomogeneous Vector Spaces". Proceedings of the National Academy of Sciences. 69 (5): 1081–1082
Bernstein–Sato_polynomial
Concept in differential geometry
may be observed: the complex holonomy representations are all prehomogeneous vector spaces. A conceptual proof of this fact is not known. The classification
Holonomy
American mathematician
(1): 1–29. doi:10.1090/s0002-9904-1966-11401-5. MR 0195995. Prehomogeneous vector space Roger Wolcott Richardson at the Mathematics Genealogy Project
Roger_Wolcott_Richardson
Sato, M.; Kimura, T. (1977), "A classification of irreducible prehomogeneous vector spaces and their relative invariants.", Nagoya Math. J., 65: 1–155,
Semi-invariant_of_a_quiver
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PREHOMOGENEOUS VECTOR-SPACE
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PREHOMOGENEOUS VECTOR-SPACE
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