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Paper detail

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

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.

preprint2010arXivOpen access
Maria Gorelik
math.RTmath-phmath.MP
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Maria Gorelik

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