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Howe Duality and Kostant Homology Formula for Infinite-Dimensional Lie Superalgebras

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Publication:3530049
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DOI10.1093/imrn/rnn085zbMath1217.17011arXiv0806.2480OpenAlexW2072025153MaRDI QIDQ3530049

Jae-Hoon Kwon, Shun-Jen Cheng

Publication date: 15 October 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2480


Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65) Cohomology of Lie (super)algebras (17B56)


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Super duality and crystal bases for quantum ortho-symplectic superalgebras. II, Kac-Wakimoto character formula for ortho-symplectic Lie superalgebras, Combinatorial extension of stable branching rules for classical groups, Irreducible characters of Kac-Moody Lie superalgebras, Super duality and homology of unitarizable modules of Lie algebras, Affinization of \(q\)-oscillator representations of \(U_q (\mathfrak{gl}_n)\), Kostant homology formulas for oscillator modules of Lie superalgebras



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