Highest weight modules associated with classical irreducible regular prehomogeneous vector spaces of commutative parabolic type
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Publication:1191040
zbMath0758.17005MaRDI QIDQ1191040
Publication date: 27 September 1992
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
prehomogeneous vector spaceshighest weight modulesgeneralized Verma modulecomplex simple Lie algebra
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Homogeneous spaces and generalizations (14M17)
Related Items (8)
On Reducibility Criterions for Scalar Generalized Verma Modules Associated to Maximal Parabolic Subalgebras ⋮ Highest weight modules and \(b\)-functions of semi-invariants ⋮ On the reducibility of scalar generalized Verma modules associated to maximal parabolic subalgebras ⋮ The structure of the space of polynomial solutions to the canonical central systems of differential equations on the block Heisenberg groups: a generalization of a theorem of Korányi ⋮ Quantum \(b\)-functions of prehomogeneous vector spaces of commutative parabolic type ⋮ The \(b\)-functions for prehomogeneous vector spaces of commutative parabolic type and universal generalized Verma modules ⋮ Further generalization of generalized Verma modules ⋮ Certain unipotent representations of finite Chevalley groups and Picard–Lefschetz monodromy
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