与泛幺正量子群相关的Hopf * -代数的第二上同群

IF 0.8 4区数学 Q2 MATHEMATICS Annales De L Institut Fourier Pub Date : 2021-04-16 DOI:10.5802/aif.3527

Biswarup Das, U. Franz, A. Kula, Adam G. Skalski

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引用次数: 2

摘要

我们计算了与不一定是Kac型的普遍量子酉群相关的$^*$-代数的第二个(和第一个)上同调群，扩展了我们之前关于自由酉群$U_d^+$的结果。扩展的设置迫使我们使用无限维表示来构造环。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Second cohomology groups of the Hopf * -algebras associated to universal unitary quantum groups

We compute the second (and the first) cohomology groups of $^*$-algebras associated to the universal quantum unitary groups of not neccesarily Kac type, extending our earlier results for the free unitary group $U_d^+$. The extended setup forces us to use infinite-dimensional representations to construct the cocycles.

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来源期刊

Annales De L Institut Fourier 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

1 months

期刊介绍： The Annales de l’Institut Fourier aim at publishing original papers of a high level in all fields of mathematics, either in English or in French. The Editorial Board encourages submission of articles containing an original and important result, or presenting a new proof of a central result in a domain of mathematics. Also, the Annales de l’Institut Fourier being a general purpose journal, highly specialized articles can only be accepted if their exposition makes them accessible to a larger audience.