Koszul Property and Poincare' Series of Matrix-Bialgebras of Type $A_N$

Abstract

Bialgebras associated to Yang-Baxter operators satisfying the Hecke equation, are considered. It is shown that they are Koszul algebras. Their Poincare' series are calculated via the Poincare' series of the corresponding quantum spaces.

arXiv comment15 pages, standard latex file