Semisimple weak Hopf algebras
| dc.creator | Nikshych, Dmitri | |
| dc.date | 2003-04-07 | |
| dc.date | 2003-10-03 | |
| dc.date.accessioned | 2026-07-07T13:16:06Z | |
| dc.date.available | 2026-07-07T13:16:06Z | |
| dc.description | We develop the theory of semisimple weak Hopf algebras and obtain analogues of a number of classical results for ordinary semisimple Hopf algebras. We prove a criterion for semisimplicity and analyze the square of the antipode S^2 of a semisimple weak Hopf algebra A. We explain how the Frobenius-Perron dimensions of irreducible A-modules and eigenvalues of S^2 can be computed using the inclusion matrix associated to A. A trace formula of Larson and Radford is extended to a relation between the global and Frobenius-Perron dimensions of A. Finally, an analogue of the Class Equation of Kac and Zhu is established and properties of $A$-module algebras and their dimensions are studied. | |
| dc.description | Ams-latex, 24 pages, an error in Proposition 3.4.2 is corrected | |
| dc.identifier | https://arxiv.org/abs/math/0304098 | |
| dc.identifier | http://arxiv.org/abs/math/0304098 | |
| dc.identifier | J. Algebra 275 (2004), 639 - 667. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230680 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.title | Semisimple weak Hopf algebras | |
| dc.type | text |