Weyl denominator identity for the affine Lie superalgebra gl(2|2)^

2010/07/25 by Maria Gorelik, Gorelik, Maria
Mathematics · Physics and Astronomy · #17B65 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Representation Theory (math.RT) #math-ph #math.MP #math.RT #msc:17B65

paper · pdf · doi:10.48550/arxiv.1007.4305

12 pages

arxiv created 2010/07/25 · openalex publication_date 2010/07/25 · arxiv updated 2010/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the Weyl denominator identity for the affine Lie superalgebra gl(2|2)^ conjectured by V. Kac and M. Wakimoto. As it was pointed out in their paper, this gives another proof of Jacobi identity for the number of presentations of a given integer as a sum of eight squares.

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