A note on a generalization of Macdonald's identities for \(A_ \ell\) and \(B_ \ell\)
type: Item
instance of: scholarly article
title: A note on a generalization of Macdonald's identities for \(A_ \ell\) and \(B_ \ell\)
zbMATH Open document ID: 0822.11037
DOI: 10.1007/BF02863417
author: Manvendra Tamba
author: N. Sthanumoorthy
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1994-08-14T00:00:00Z
review text: A generalization of Macdonald identities for Dedekind's \(\eta\)-function is obtained, connected with complex simple finite dimensional Lie algebras of type \(A_ l\) and \(B_ l\). The formulas for the generating function of Ramanujan's functions are obtained as consequences.
Mathematics Subject Classification ID: 11F20
Mathematics Subject Classification ID: 17B20
Mathematics Subject Classification ID: 11F22
zbMATH DE Number: 618130
zbMATH Keywords: Macdonald's multivariable identities
zbMATH Keywords: root system
zbMATH Keywords: simple Lie algebras
zbMATH Keywords: Dedekind's \(\eta\)-function
zbMATH Keywords: Ramanujan's functions
reviewed by: Kanat Abdukhalikov
MaRDI profile type: Publication
cites work: Missed opportunities
cites work: Q3693672
cites work: Macdonald-type identities
cites work: Generalized Verma modules, loop space cohomology and MacDonald-type identities
cites work: Q4740716
cites work: Affine root systems and Dedekind's \(\eta\)-function
cites work: Q5164805
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description: scientific article; zbMATH DE number 618130