Simple proof of Macdonald's identities for the series A

DOI10.1007/BF01085487zbMath0763.33007MaRDI QIDQ1178101

Z. L. Lejbenzon

Publication date: 26 June 1992

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

Laurent polynomial

Mathematics Subject Classification ID

(q)-gamma functions, (q)-beta functions and integrals (33D05) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (1)

A multiset hook length formula and some applications

Cites Work

• Unnamed Item
• An elementary proof of the Macdonald identities for \(A_{\ell}^{(1)}\)
• Fixed points of diffeomorphisms of two-dimensional spheres preserving an oriented plane
• Lie algebra homology and the Macdonald-Kac formulas
• Lie algebraic approaches to classical partition identities
• Affine root systems and Dedekind's \(\eta\)-function
• Generalized Verma modules, loop space cohomology and MacDonald-type identities

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