Some twisted results
Some twisted results
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DOI：
10.1088/0305-4470/38/47/006
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发表时间：
2005-04
期刊：
影响因子：
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通讯作者：
M. Gould;T. Lekatsas
中科院分区：
文献类型：
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作者：
M. Gould;T. Lekatsas
的Drinfeld扭曲的相反的准Hopf代数，H-COP，被确定，并示出有关的（第二）Drinfeld扭曲的准Hopf代数。研究了Drinfeld扭转的扭转形式。在拟三角情形下，证明了Drinfeld u算子的产生是由于H-COP等价于H与R-矩阵的扭曲所诱导的拟Hopf代数. Altschuler-Coste u-算子以类似的方式出现，并被证明与Drinfeld u-算子密切相关。引入了拟上循环条件，并证明了该条件在拟Hopf代数上扭曲结构的唯一性中起着重要作用。本文介绍了动力学量子Yang-Baxter方程的一个推广，称为准动力学量子Yang-Baxter方程。
The Drinfeld twist for the opposite quasi-Hopf algebra, H-COP, is determined and is shown to be related to the (second) Drinfeld twist on a quasi-Hopf algebra. The twisted form of the Drinfeld twist is investigated. In the quasi-triangular case, it is shown that the Drinfeld u-operator arises from the equivalence of H-COP to the quasi-Hopf algebra induced by twisting H with the R-matrix. The Altschuler-Coste u-operator arises in a similar way and is shown to be closely related to the Drinfeld u-operator. The quasi-cocycle condition is introduced and is shown to play a central role in the uniqueness of twisted structures on quasi-Hopf algebras. A generalization of the dynamical quantum Yang-Baxter equation, called the quasi-dynamical quantum Yang-Baxter equation, is introduced.