In this paper, the concepts of a weak Hopf algebra and a quasi-braided almost bialgebra are introduced. It is shown that the quantum quasi-doubles of some weak Hopf algebras are quasi-braided almost bialgebras. This fact implies that some new solutions of the quantum YangαBaxter equation can be cons
Some new solutions of the Yang-Baxter equation
β Scribed by Susumu Okubo
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 276 KB
- Volume
- 198
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
It is shown that all strongly symmetric elements are solutions of the constant classical Yang-Baxter equation in Lie algebra, or of the quantum Yang-Baxter equation in algebra. Otherwise, all solutions of the constant classical Yang-Baxter Ε½ . equation CYBE in Lie algebra L with dim L F 3 over field
Let H be a Hopf algebra with invertible antipode. Two different actions of the braid group B n on H βn are described. These are representations of the braid group associated to solutions of the Yang-Baxter equation. By passing to a submodule for one action and to a quotient module for the other, we