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On The Poincare Series of Quadratic Algebras Associated to Hecke Symmetries

Nguyen Phuong Dung·Phung Ho Hai
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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 $R$ 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.

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BibTeXRIS

Nguyen Phuong Dung, Phung Ho Hai. 2003-05-08. On The Poincare Series of Quadratic Algebras Associated to Hecke Symmetries. https://doi.org/10.1155/s107379280313022x

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