Weak Hopf Algebras and Some New Solutions of the Quantum Yang)Baxter Equation
Weak Hopf Algebras and Some New Solutions of the Quantum Yang)Baxter Equation
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DOI：
10.1006/jabr.1998.7491
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发表时间：
1998-10
影响因子：
0.9
通讯作者：
Fang Li
中科院分区：
文献类型：
--
作者：
Fang Li
本文引入了弱Hopf代数和拟辫几乎双代数的概念。证明了某些弱Hopf代数的量子拟双是拟辫几乎双代数。这一事实意味着量子Yang-Baxter方程的某些新解可以由某些弱Hopf代数构造，特别是当弱Hopf代数是有限Clifford幺半群代数时.
Abstract 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.