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Regularizable cycles associated with a Selberg type integral under some resonance condition

Katsuhisa Mimachi, Masaaki Yoshida

math.AGarXiv:math/0408272

Abstract

We study the twisted homology group attached to a Selberg type integral under some resonance condition, which naturally appears in the su2-conformal field theory and the representation of the Iwahori-Hecke algebra. We determine the dimension of the space of the regularizable cycles. The dimension-formula is given in terms of the generalized hypergeometric series.

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