The homological determinant of quatum groups of type A
Quantum Algebra
2016-09-07 v1
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.
Keywords
Cite
@article{arxiv.math/0305115,
title = {The homological determinant of quatum groups of type A},
author = {Phung Ho Hai},
journal= {arXiv preprint arXiv:math/0305115},
year = {2016}
}
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6 pages