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The homological determinant of quatum groups of type A

Phung Ho Hai
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Abstract

A quantum group of type A is defined as a Hopf algebra associated to a Hecke symmetry. We show the homology of a Koszul complex associated to the Hecke symmetry is one dimensional and determines a group-like element in the Hopf algebra. This group-like element can be interpreted as a homological determinant as suggested by Yu. Manin.

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Phung Ho Hai. 2003-05-08. The homological determinant of quatum groups of type A. https://arxiv.org/abs/math/0305115

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