Infinite Hopf Families of Algebras and Yang-Baxter Relations
| dc.creator | MacKay, Niall | |
| dc.creator | Zhao, Liu | |
| dc.date | 2001-01-16 | |
| dc.date.accessioned | 2026-07-07T04:28:15Z | |
| dc.date.available | 2026-07-07T04:28:15Z | |
| dc.description | A Yang-Baxter relation-based formalism for generalized quantum affine algebras with the structure of an infinite Hopf family of (super-) algebras is proposed. The structure of the infinite Hopf family is given explicitly on the level of $L$ matrices. The relation with the Drinfeld current realization is established in the case of $4\times4$ $R$-matrices by studying the analogue of the Ding-Frenkel theorem. By use of the concept of algebra ``comorphisms'' (which generalize the notion of algebra comodules for standard Hopf algebras), a possible way of constructing infinitely many commuting operators out of the generalized $RLL$ algebras is given. Finally some examples of the generalized $RLL$ algebras are briefly discussed. | |
| dc.description | LaTeX, 16 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0101018 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0101018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56718 | |
| dc.subject | Mathematical Physics | |
| dc.title | Infinite Hopf Families of Algebras and Yang-Baxter Relations | |
| dc.type | text |