• Corpus ID: 119701008

The homological determinant of quatum groups of type A

  title={The homological determinant of quatum groups of type A},
  author={Ph{\`u}ng Hồ Hai},
  journal={arXiv: Quantum Algebra},
  • P. H. Hai
  • Published 8 May 2003
  • Mathematics
  • arXiv: Quantum Algebra
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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