Generalized (anti) Yetter-Drinfeld modules as components of a braided T-category
| dc.creator | Panaite, Florin | |
| dc.creator | Staic, Mihai D. | |
| dc.date | 2005-03-21 | |
| dc.date.accessioned | 2026-07-07T05:18:10Z | |
| dc.date.available | 2026-07-07T05:18:10Z | |
| dc.description | If H is a Hopf algebra with bijective antipode and α, β\in Aut_{Hopf}(H), we introduce a category_H{\cal YD}^H(α, β), generalizing both Yetter-Drinfeld and anti-Yetter-Drinfeld modules. We construct a braided T-category {\cal YD}(H) having all these categories as components, which if H is finite dimensional coincides with the representations of a certain quasitriangular T-coalgebra DT(H) that we construct. We also prove that if (α, β) admits a so-called pair in involution, then_H{\cal YD}^H(α, β) is isomorphic to the category of usual Yetter-Drinfeld modules_H{\cal YD}^H. | |
| dc.description | 12 pages, Latex, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0503413 | |
| dc.identifier | http://arxiv.org/abs/math/0503413 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74564 | |
| dc.subject | Quantum Algebra | |
| dc.title | Generalized (anti) Yetter-Drinfeld modules as components of a braided T-category | |
| dc.type | text |