Macdonald-type identities

DOI10.1016/0001-8708(78)90099-3zbMath0388.17003OpenAlexW1977993088MaRDI QIDQ1250158

James Lepowsky

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0001-8708(78)90099-3

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

A note on a generalization of Macdonald's identities for \(A_ \ell\) and \(B_ \ell\), A RECURRENCE RELATION FOR CHARACTERS OF HIGHEST WEIGHT INTEGRABLE MODULES FOR AFFINE LIE ALGEBRAS, Iterated elliptic and hypergeometric integrals for Feynman diagrams, Application of the numerator formula to k-rowed plane partitions, Realization of the basic representations of the Euclidean Lie algebras, Lie algebraic approaches to classical partition identities, Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula, Lie Algebra Multiplicities, Classification and construction of quasisimple Lie algebras, Expansions for \((q)_\infty^{n^2+2n}\) and basic hypergeometric series in \(U(n)\), Structure of certain standard modules for \(A_ n^{(1)}\) and the Rogers-Ramanujan identities, The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities, Graded dimensions of principal subspaces and modular Andrews–Gordon-type series

Cites Work

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• Infinite-dimensional Lie algebras and Dedekind's \(\eta\)-function
• On Macdonald's \(\eta\)-function formula, the Laplacian and generalized exponents
• Lie algebra homology and the Macdonald-Kac formulas
• Representation of complex semi-simple Lie groups and Lie algebras
• Affine root systems and Dedekind's \(\eta\)-function
• MacDonald Identities and Euclidean Lie Algebras
• Dedekind's η-function and the cohomology of infinite dimensional Lie algebras