volume 80, issue 4, P65-122 2016
DOI: 10.4213/im8408
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Виктор Гершевич Кац,

Abstract: Representations of affine superalgebrasand mock theta functions. IIIWe study modular invariance of normalized supercharacters of tame integrable modules over an affine Lie superalgebra, associated to an arbitrary basic Lie superalgebra g. For this we develop a several step modification process of multivariable mock theta functions, where at each step a Zwegers' type "modifier" is used. We show that the span of the resulting modified normalized supercharacters is SL2(Z)-invariant, with the transformation matrix…

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