Proceedings of the American Mathematical Society

Author(s): Phùng Hô Hai
Journal: Proc. Amer. Math. Soc. 133 (2005), 1897-1905.
MSC (2000): Primary 16W30, 17B37; Secondary 17A45, 17A70
Posted: February 15, 2005
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Abstract: Let

be a Hecke symmetry depending algebraically on a parameter $q\in\mathbb{C}$ . We show that the homology of the Koszul complex associated with

is one-dimensional when

is not a root of unity. A generator of this homology group then induces the homological determinant of the quantum group associated with

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