The homological determinant of quatum groups of type A

Details The homological determinant of quatum groups of type A The homological determinant of quatum groups of type A

2003-05-08

arxiv.org/abs/math/0305115v1

Mathematics

Quantum Algebra

6 pages

Scientific paper

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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