On the Hochschild homology of quantum SL(N)
| dc.creator | Hadfield, Tom | |
| dc.creator | Kraehmer, Ulrich | |
| dc.date | 2005-09-12 | |
| dc.date | 2006-05-19 | |
| dc.date.accessioned | 2026-07-07T10:09:13Z | |
| dc.date.available | 2026-07-07T10:09:13Z | |
| dc.description | 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). | |
| dc.description | 5 pages, no figures. Final version accepted for publication | |
| dc.identifier | https://arxiv.org/abs/math/0509254 | |
| dc.identifier | http://arxiv.org/abs/math/0509254 | |
| dc.identifier | Comptes Rendus Acad. Sci. Paris, Ser. I, 343, 9-13 (2006) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171253 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16E40, 16W35 | |
| dc.title | On the Hochschild homology of quantum SL(N) | |
| dc.type | text |