6维的拟hopf代数

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2025-05-08 DOI:10.1016/j.jpaa.2025.107991

D. Bulacu , M. Misurati

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引用次数: 0

摘要

通过证明6维拟hopf代数是半单代数，完成了该类代数的分类。作为副产物，我们提供了不像代数那样半简单的6维准双代数的例子，以及之前由Etingof和Gelaki根据其表示范畴分类的6维半简单准hopf代数的具体准hopf结构。总共有15个6维的准hopf代数不是两两扭转等价的。

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Quasi-Hopf algebras of dimension 6

We complete the classification of the 6-dimensional quasi-Hopf algebras, by proving that any such algebra is semisimple. As byproducts, we provide examples of 6-dimensional quasi-bialgebras that are not semisimple as algebras, as well as the concrete quasi-Hopf structures of the 6-dimensional semisimple quasi-Hopf algebras previously classified by Etingof and Gelaki in terms of their category of representations. In total there are 15 quasi-Hopf algebras in dimension 6 which are not pairwise twist equivalent.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.