Deformation cohomology for Yetter-Drinfel'd modules and Hopf (bi)modules
| dc.creator | Panaite, Florin | |
| dc.creator | Stefan, Dragos | |
| dc.date | 2000-06-07 | |
| dc.date.accessioned | 2026-07-07T04:35:46Z | |
| dc.date.available | 2026-07-07T04:35:46Z | |
| dc.description | If A is a bialgebra over a field k and M, N are either left-right Yetter-Drinfel'd modules or left-right Hopf modules over A, we construct deformation cohomologies H^*(M,N) as total cohomologies of certain double complexes Y(M,N) and C(M,N), respectively. In both cases, H^1(M,N) is isomorphic to the group of equivalence classes of extensions of M by N in the corresponding category. In the Yetter-Drinfel'd case, H^*(k,k) is just the Gerstenhaber-Schack cohomology of the bialgebra A. If M, N are Hopf bimodules we construct a natural subbicomplex of the above C(M,N), yielding a cohomology theory for Hopf bimodules, similar to the one recently introduced by R. Taillefer. | |
| dc.description | 12 pages, Latex, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0006048 | |
| dc.identifier | http://arxiv.org/abs/math/0006048 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59364 | |
| dc.subject | Quantum Algebra | |
| dc.title | Deformation cohomology for Yetter-Drinfel'd modules and Hopf (bi)modules | |
| dc.type | text |