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arXiv · 1007.4305

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

Maria Gorelik
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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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Maria Gorelik. 2010-07-25. Weyl denominator identity for the affine Lie superalgebra gl(2|2)^. https://arxiv.org/abs/1007.4305

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