On tensor products of irreducible integrable representations

DOI10.1016/j.jalgebra.2021.11.007zbMath1492.17026arXiv1809.08408OpenAlexW3213023164MaRDI QIDQ2057246

Shifra Reif, R. Venkatesh

Publication date: 9 December 2021

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

Full work available at URL: https://arxiv.org/abs/1809.08408

zbMATH Keywords

unique factorizationKac-Weyl character formulaBorcherds-Kac-Moody algebrasIntegrable representations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (1)

Tensor products and intertwining operators for uniserial representations of the Lie algebra \(\mathfrak{sl}(2) \ltimes V(m)\)

Cites Work

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• Generalized Kac-Moody algebras
• The strong Bernstein-Gelfand-Gelfand resolution for generalized Kac-Moody algebras. I: The existence of the resolution
• Root multiplicities for Borcherds algebras and graph coloring
• Unique factorization of tensor products for Kac-Moody algebras
• Unique decomposition of tensor products of irreducible representations of simple algebraic groups
• Monstrous moonshine and monstrous Lie superalgebras
• ON THE HARISH-CHANDRA HOMOMORPHISM FOR GENERALIZED KAC-MOODY ALGEBRAS
• Crystal bases for quantum generalized kac–moody algebras
• Kazhdan-Lusztig Conjecture for Generalized Kac-Moody Algebras. II: Proof of the Conjecture

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