Hypergeometric functions on the external power \(\Lambda^k\mathbb{C}^n\) and on the Grassmannian \(G_{k,n}\), their relationships and integral representations

zbMATH Open0921.33006MaRDI QIDQ1264955

Vladimir Retakh, M. I. Graev, I. M. Gel'fand

Publication date: 6 October 1999

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

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Reduction formulas for hypergeometric functions associated with the Grassmannian \(G_{k,n}\) and description of these functions on strata of small codimension in \(G_{k,n}\) ⋮ Title not available (Why is that?)

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