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The strongly symmetric elements and solutions of Yang–Baxter equation

✍ Scribed by Shouchuan Zhang

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
91 KB
Volume
261
Category
Article
ISSN
0375-9601

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✦ Synopsis

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 Ž . equation CYBE in Lie algebra L with dim L F 3 over field k of characteristic 2 are obtained q 1999 Elsevier Science B.V. All rights reserved.

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Weak Hopf Algebras and Some New Solution
Weak Hopf Algebras and Some New Solutions of the Quantum Yang–Baxter Equation
✍ Fang Li 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 316 KB

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