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