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

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

1995-11-24

arxiv.org/abs/q-alg/9511021v3

Journal of Algebra Volume 192, N2, (1997), P. 734-748

Mathematics

Quantum Algebra

15 pages, standard latex file

Scientific paper

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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