On The Poincare Series of Quadratic Algebras Associated to Hecke Symmetries
arXiv:math/0305116 · doi:10.1155/S107379280313022X
Abstract
Hecke symmetries generalize the usual tensor symmetry of vector spaces $v\otimes w\arrow w\otimes v$ as well as the symmetry of vector superspaces. To a Hecke symmetry there associates a quadratic algebra which can be interpreted as the function algebra upon a certain quantum space. This paper investigates the Poincare series of this quadratic algebra. We showthat it is a rational function with numerator and denominator being a reciprocal polynomial and a skew-reciprocal polynomial, respectively.
8 pages, to appear in Int. Math. Res. Notices