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Regular solutions of quantum Yang-Baxter equation from weak hopf algebras

โœ Scribed by Steven Duplij; Fang Li

Book ID
110320992
Publisher
Springer
Year
2001
Tongue
English
Weight
333 KB
Volume
51
Category
Article
ISSN
0011-4626

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๐Ÿ“œ SIMILAR VOLUMES

Weak Hopf Algebras and Some New Solution
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โœ Fang Li ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 YangแŽBaxter equation can be cons

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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