Crossed Products by a Coalgebra
| dc.creator | Brzezinski, Tomasz | |
| dc.date | 1996-03-18 | |
| dc.date | 1997-04-19 | |
| dc.date.accessioned | 2026-07-07T09:08:38Z | |
| dc.date.available | 2026-07-07T09:08:38Z | |
| dc.description | We introduce the notion of a crossed product of an algebra by a coalgebra $C$, which generalises the notion of a crossed product by a bialgebra well-studied in the theory of Hopf algebras. The result of such a crossed product is an algebra which is also a right $C$-comodule. We find the necessary and sufficient conditions for two coalgebra crossed products be equivalent. We show that the two-dimensional quantum Euclidean group is a coalgebra crossed product. The paper is completed with an appendix describing the dualisation of construction of coalgebra crossed products. | |
| dc.description | 21 pages, LaTeX, uses epsf. An error in the main proposition corrected. Will appear in Communications in Algebra | |
| dc.identifier | https://arxiv.org/abs/q-alg/9603016 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9603016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150791 | |
| dc.subject | Quantum Algebra | |
| dc.title | Crossed Products by a Coalgebra | |
| dc.type | text |