Bialgebra Cyclic Homology with Coefficients, Part II
| dc.creator | Kaygun, Atabey | |
| dc.date | 2004-09-11 | |
| dc.date.accessioned | 2026-07-07T05:12:03Z | |
| dc.date.available | 2026-07-07T05:12:03Z | |
| dc.description | This is the second part of the article [math.KT/0408094]. In the first paper, we used the underlying coalgebra structure to develop a cyclic theory. In this paper we define a dual theory by using the algebra structure. We define a cyclic homology theory for triples $(X,B,Y)$ where $B$ is a bialgebra, $X$ is a $B$--comodule algebra and $Y$ is just a stable $B$--module/comodule. We recover the main result of [math.KT/0310088] that these homology theories are dual to each other in the appropriate sense when the bialgebra is a Hopf algebra and the stable coefficient module satisfies anti-Yetter-Drinfeld condition. We also compute this particular homology for the quantum deformation of an arbitrary semi-simple Lie algebra and the Hopf algebra of foliations of codimension $N$ with stable but non-anti-Yetter-Drinfeld coefficients. | |
| dc.description | 19 pages, LaTeX, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0409191 | |
| dc.identifier | http://arxiv.org/abs/math/0409191 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72447 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Quantum Algebra | |
| dc.subject | 19D55 (Primary) 16W30, 17B37 (Secondary) | |
| dc.title | Bialgebra Cyclic Homology with Coefficients, Part II | |
| dc.type | text |