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Weak Hopf Algebras and Some New Solutions of the Quantum Yang–Baxter Equation

✍ Scribed by Fang Li

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
316 KB
Volume
208
Category
Article
ISSN
0021-8693

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✦ Synopsis

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 constructed from some weak Hopf algebras, in particular, when the weak Hopf algebra is a finite Clifford monoid algebra.

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