On a Generic Verma Module at the Critical Level Over Affine Lie Superalgebras

DOI10.1093/imrn/rnm014zbMath1133.17014arXivmath/0504253OpenAlexW2003122608MaRDI QIDQ5428094

Maria Gorelik

Publication date: 28 November 2007

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

Full work available at URL: https://arxiv.org/abs/math/0504253

zbMATH Keywords

Verma modulesaffine Lie superalgebrascharacter formulacritical levelgeneric highest weights

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)

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Simplicity of vacuum modules over affine Lie superalgebras ⋮ Shapovalov determinant for loop superalgebras

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