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arXiv math/9801135math.QA
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交换动力学量子群

Exchange dynamical quantum groups

Pavel Etingof, Alexander Varchenko

摘要:

对任意单李代数g和任意非零或非平凡单位根的复数q,构造了一个动力学量子群(Hopf代数胚),其表示论与量子群U_q(g)的表示论基本相同.这个动力学量子群是由U_q(g)的表示论中纠缠算符之间的融合和交换关系得到的,是这些关系背后的一个代数结构。

英文摘要:

For any simple Lie algebra g and any complex number q which is not zero or a nontrivial root of unity, we construct a dynamical quantum group (Hopf algebroid), whose representation theory is essentially the same as the representation theory of the quantum group U_q(g). This dynamical quantum group is obtained from the fusion and exchange relations between intertwining operators in representation theory of U_q(g), and is an algebraic structure standing behind these relations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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