Integrals for (dual) quasi-Hopf algebras. Applications
| dc.creator | Bulacu, D. | |
| dc.creator | Caenepeel, S. | |
| dc.date | 2001-10-05 | |
| dc.date | 2002-10-18 | |
| dc.date.accessioned | 2026-07-07T04:43:41Z | |
| dc.date.available | 2026-07-07T04:43:41Z | |
| dc.description | A classical result in the theory of Hopf algebras concerns the uniqueness and existence of integrals: for an arbitrary Hopf algebra, the integral space has dimension $\leq 1$, and for a finite dimensional Hopf algebra, this dimension is exaclty one. We generalize these results to quasi-Hopf algebras and dual quasi-Hopf algebras. In particular, it will follow that the bijectivity of the antipode follows from the other axioms of a finite dimensional quasi-Hopf algebra. We give a new version of the Fundamental Theorem for quasi-Hopf algebras. We show that a dual quasi-Hopf algebra is co-Frobenius if and only if it has a non-zero integral. In this case, the space of left or right integrals has dimension one. | |
| dc.description | 25 pages; new version with minor corrections | |
| dc.identifier | https://arxiv.org/abs/math/0110063 | |
| dc.identifier | http://arxiv.org/abs/math/0110063 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62332 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W30 | |
| dc.title | Integrals for (dual) quasi-Hopf algebras. Applications | |
| dc.type | text |