Generic Hopf Galois extensions
| dc.creator | Kassel, Christian | |
| dc.date | 2008-09-03 | |
| dc.date | 2009-01-23 | |
| dc.date.accessioned | 2026-07-07T12:32:45Z | |
| dc.date.available | 2026-07-07T12:32:45Z | |
| dc.description | In previous joint work with Eli Aljadeff we attached a generic Hopf Galois extension A(H,c) to each twisted algebra H(c) obtained from a Hopf algebra H by twisting its product with the help of a cocycle c. The algebra A(H,c) is a flat deformation of H(c) over a "big" central subalgebra B(H,c) and can be viewed as the noncommutative analogue of a versal torsor in the sense of Serre. After surveying the results on A(H,c) obtained with Aljadeff, we establish three new results: we present a systematic method to construct elements of the commutative algebra B(H,c), we show that a certain important integrality condition is satisfied by all finite-dimensional Hopf algebras generated by grouplike and skew-primitive elements, and we compute B(H,c) in the case where H is the Hopf algebra of a cyclic group. | |
| dc.description | 17 pages. Small changes in introduction and additional references | |
| dc.identifier | https://arxiv.org/abs/0809.0638 | |
| dc.identifier | http://arxiv.org/abs/0809.0638 | |
| dc.identifier | Proceedings of the Workshop on Quantum Groups and Noncommutative Geometry, M. Marcolli and D. Parashar (eds.), MPIM, Bonn 2007, Vieweg Verlag (Max-Planck Series), 2009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216888 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W30; 16S35; 16R50; 81R50; 13B05 | |
| dc.title | Generic Hopf Galois extensions | |
| dc.type | text |