Hypergeometric functions on reductive groups

zbMath0987.33008arXivalg-geom/9711011MaRDI QIDQ2707318

Mikhail Kapranov

Publication date: 1 April 2001

Full work available at URL: https://arxiv.org/abs/alg-geom/9711011

zbMATH Keywords

reductive groupGauss functionAppell function\(A\)-hypergeometric systemgamma seriesPochhammer function\(A\)-hypergeometric function\(A\)-discriminantmatrix gamma functionmonomials on groups

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Representation theory for linear algebraic groups (20G05) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items (4)

Chern classes of reductive groups and an adjunction formula ⋮ Moment polytopes, semigroup of representations and Kazarnovskii's theorem ⋮ Tautological systems and free divisors ⋮ Stable reductive varieties. II: Projective case

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