Frobenius extensions and weak Hopf algebras
| dc.creator | Kadison, Lars | |
| dc.creator | Nikshych, Dmitri | |
| dc.date | 2001-02-01 | |
| dc.date.accessioned | 2026-07-07T04:39:56Z | |
| dc.date.available | 2026-07-07T04:39:56Z | |
| dc.description | We study a symmetric Markov extension of k-algebras N \into M, a certain kind of Frobenius extension with conditional expectation that is tracial on the centralizer and dual bases with a separability property. We place a depth two condition on this extension, which is essentially the requirement that the Jones tower N \into M \into M_1 \into M_2 can be obtained by taking relative tensor products with centralizers A = C_{M_1}(N) and B = C_{M_2}(M). Under this condition, we prove that N \into M is the invariant subalgebra pair of a weak Hopf algebra action by A, i.e., that N = M^A. The endomorphism algebra M_1 = \End_N M is shown to be isomorphic to the smash product algebra M # A. We also extend results of Szymanski, Vainerman and the second author, and the authors. | |
| dc.description | 25 pages, amslatex | |
| dc.identifier | https://arxiv.org/abs/math/0102010 | |
| dc.identifier | http://arxiv.org/abs/math/0102010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60874 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30, 46L37 | |
| dc.title | Frobenius extensions and weak Hopf algebras | |
| dc.type | text |