Tensor products of certain modules for the generalized cartan matrix lie algebra

DOI10.1080/00927878108822649zbMath0464.17001OpenAlexW2004139717MaRDI QIDQ3915127

Alex J. Feingold

Publication date: 1981

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878108822649

zbMATH Keywords

partition functiontensor products of modulespower series identitiesanalog of Racah outer multiplicity formulaEuclidean generalized Cartan matrix Lie algebras

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

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Cites Work

• Fixed points of diffeomorphisms of two-dimensional spheres preserving an oriented plane
• Lie algebraic approaches to classical partition identities
• The Weyl-Kac character formula and power series identities
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula