Weyl denominator identity for the affine Lie superalgebra gl(2|2)^
Representation Theory
2010-07-27 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1007.4305,
title = {Weyl denominator identity for the affine Lie superalgebra gl(2|2)^},
author = {Maria Gorelik},
journal= {arXiv preprint arXiv:1007.4305},
year = {2010}
}
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12 pages