Some algebraic structures connected with the Yang—Baxter equation. Representations of quantum algebras
✍ Scribed by E. K. Sklyanin
- Publisher
- Springer US
- Year
- 1984
- Tongue
- English
- Weight
- 868 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0016-2663
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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 Yang᎐Baxter equation can be cons
The authors showed previously on Frobenius algebras and quantum Yang-Baxter . equation, II, preprint, TRITA-MAT-1995, February 1995 that every Frobenius algebra over a commutative ring defines a solution of the quantum Yang-Baxter equation. Applying this result to Hopf algebras over commutative ring