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

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

2010-07-25

arxiv.org/abs/1007.4305v1

Mathematics

Representation Theory

12 pages

Scientific paper

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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