Integrals for braided Hopf algebras
| dc.creator | Bespalov, Yuri | |
| dc.creator | Kerler, Thomas | |
| dc.creator | Lyubashenko, Volodymyr | |
| dc.creator | Turaev, Vladimir | |
| dc.date | 1997-09-12 | |
| dc.date | 1997-09-13 | |
| dc.date.accessioned | 2026-07-07T09:08:51Z | |
| dc.date.available | 2026-07-07T09:08:51Z | |
| dc.description | Let H be a Hopf algebra in a rigid braided monoidal category with split idempotents. We prove the existence of integrals on (in) H characterized by the universal property, employing results about Hopf modules, and show that their common target (source) object Int H is invertible. The fully braided version of Radford's formula for the fourth power of the antipode is obtained. Connections of integration with cross-product and transmutation are studied. The results apply to topological Hopf algebras, e.g. a torus with a hole, which do not have additive structure. | |
| dc.description | 55 pages, Latex2e with AMSLatex | |
| dc.identifier | https://arxiv.org/abs/q-alg/9709020 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9709020 | |
| dc.identifier | J. Pure Appl. Algebra 148 (2000), no. 2, 113-164 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150871 | |
| dc.subject | Quantum Algebra | |
| dc.title | Integrals for braided Hopf algebras | |
| dc.type | text |