Schur functions, Good's identity, and hypergeometric series well poised in SU(n)

DOI10.1016/0001-8708(83)90088-9zbMath0516.33015OpenAlexW2054732828MaRDI QIDQ1052500

Robert A. Gustafson, Stephen C. Milne

Publication date: 1983

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(83)90088-9

zbMATH Keywords

Schur functionsWeyl character formulaDyson conjectureGood's identity

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (19)

Symmetric functions in the Kontsevich-Witten intersection theory of the moduli space of curves ⋮ Gambler’s Ruin: The Duration of Play ⋮ A q-analog of the Gauss summation theorem for hypergeometric series in U(n) ⋮ Thom series of contact singularities ⋮ A new class of symmetric polynomials defined in terms of tableaux ⋮ Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers ⋮ New relations and identities for generalized hypergeometric coefficients ⋮ Classical partition functions and the \(U(n+1)\) Rogers-Selberg identity ⋮ Determinants and Algebraic Identities Associated with the Root Systems of Classical Lie Algebras ⋮ Euler characteristics of crepant resolutions of Weierstrass models ⋮ A multidimensional generalization of the Barnes integral and the continuous Hahn polynomial ⋮ Identities on factorial Grothendieck polynomials ⋮ Schur functions and the invariant polynomials characterizing U(n) tensor operators ⋮ The factorial Schur function ⋮ A q-analog of the \(_5F_4(1)\) summation theorem for hypergeometric series well-poised in \(SU(n)\) ⋮ An elementary proof of the Macdonald identities for \(A_{\ell}^{(1)}\) ⋮ A new symmetry related to SU(n) for clasical basic hypergeometric series ⋮ A q-analog of hypergeometric series well-poised in SU(n) and invariant G-functions ⋮ \(U(n)\) Wigner coefficients, the path sum formula, and invariant G-functions

Cites Work

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• Some Basic Hypergeometric Extensions of Integrals of Selberg and Andrews
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• Some Conjectures for Root Systems
• On Hypergeometric Series Well-Poised in $SU(n)$
• La correspondance de Robinson
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• Introduction to Lie Algebras and Representation Theory
• Proof of a Conjecture by Dyson

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