A note on a generalization of Macdonald's identities for \(A_ \ell\) and \(B_ \ell\)

DOI10.1007/BF02863417zbMath0822.11037MaRDI QIDQ1331187

Manvendra Tamba, N. Sthanumoorthy

Publication date: 14 August 1994

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

root systemsimple Lie algebrasDedekind's \(\eta\)-functionMacdonald's multivariable identitiesRamanujan's functions

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Dedekind eta function, Dedekind sums (11F20) Simple, semisimple, reductive (super)algebras (17B20)

Cites Work

• Macdonald-type identities
• Affine root systems and Dedekind's \(\eta\)-function
• Generalized Verma modules, loop space cohomology and MacDonald-type identities
• Missed opportunities
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