Weyl denominator identity for affine Lie superalgebras with non-zero dual Coxeter number

Maria Gorelik

doi:https://doi.org/10.1016/j.jalgebra.2011.04.011

Weyl denominator identity for affine Lie superalgebras with non-zero dual Coxeter number

Maria Gorelik

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

Weyl denominator identity for the affinization of a simple finite-dimensional Lie superalgebra with non-zero Killing form was stated by V. Kac and M. Wakimoto and was proven by them for the defect one case. In this paper we prove this identity. (C) 2011 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	50-62
Number of pages	13
Journal	Journal of Algebra
Volume	337
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2011.04.011
State	Published - Jul 2011

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title = "Weyl denominator identity for affine Lie superalgebras with non-zero dual Coxeter number",

abstract = "Weyl denominator identity for the affinization of a simple finite-dimensional Lie superalgebra with non-zero Killing form was stated by V. Kac and M. Wakimoto and was proven by them for the defect one case. In this paper we prove this identity. (C) 2011 Elsevier Inc. All rights reserved.",

author = "Maria Gorelik",

note = "ISF [1142/07]Supported in part by ISF Grant No. 1142/07.",

year = "2011",

month = jul,

doi = "https://doi.org/10.1016/j.jalgebra.2011.04.011",

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N2 - Weyl denominator identity for the affinization of a simple finite-dimensional Lie superalgebra with non-zero Killing form was stated by V. Kac and M. Wakimoto and was proven by them for the defect one case. In this paper we prove this identity. (C) 2011 Elsevier Inc. All rights reserved.

AB - Weyl denominator identity for the affinization of a simple finite-dimensional Lie superalgebra with non-zero Killing form was stated by V. Kac and M. Wakimoto and was proven by them for the defect one case. In this paper we prove this identity. (C) 2011 Elsevier Inc. All rights reserved.

U2 - https://doi.org/10.1016/j.jalgebra.2011.04.011

DO - https://doi.org/10.1016/j.jalgebra.2011.04.011

M3 - مقالة

SN - 0021-8693

VL - 337

SP - 50

EP - 62

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

Weyl denominator identity for affine Lie superalgebras with non-zero dual Coxeter number

Abstract

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