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
✦ LIBER ✦
Solutions to the Quantum Yang-Baxter Equation and the Drinfel′d Double
✍ Scribed by D.E. Radford
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 493 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0021-8693
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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
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