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Koszul Property and Poincare' Series of Matrix-Bialgebras of Type AN

Phung Ho Hai

q-algarXiv:q-alg/9511021

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.

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