Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type VI. Suzuki and Ree groups

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:225

Article

Carnovale, Giovanna¹  Costantini, Mauro¹ 

[1] Univ Padua, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, Italy

关键词: Nichols algebra;    Hopf algebra;    Rack;    Finite group of Lie type;    Conjugacy class;   

DOI  :  10.1016/j.jpaa.2020.106568

来源: Elsevier

【 摘 要 】

We analyse the rack structure of conjugacy classes in simple Suzuki and Ree groups and determine which classes are kthulhu. Combining these results with abelian rack techniques, we show that the only finite-dimensional complex pointed Hopf algebras over the simple Suzuki and Ree groups are their group algebras. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free