On the Hochschild homology of quantum SL(N)
Quantum Algebra
2008-10-13 v3 Rings and Algebras
Abstract
We show that the standard quantized coordinate ring A of quantum SL(N) satisfies van den Bergh's analogue of Poincare duality for Hochschild (co)homology with dualizing bimodule being A_sigma, the A-bimodule which is A as k-vector space with right multiplication twisted by the modular automorphism sigma of the Haar functional. This implies that H_{N^2-1} (A, A_sigma)=k, generalizing our previous results for quantum SL(2).
Keywords
Cite
@article{arxiv.math/0509254,
title = {On the Hochschild homology of quantum SL(N)},
author = {Tom Hadfield and Ulrich Kraehmer},
journal= {arXiv preprint arXiv:math/0509254},
year = {2008}
}
Comments
5 pages, no figures. Final version accepted for publication