Invariance of the restricted p-power map on integrable derivations under stable equivalences

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• 作者：Lleonard Rubio y Degrassi ^{Lleonard.Rubio-Y-Degrassi.1@city.ac.uk" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Hochschild cohomology ; Integrable derivations ; Restricted p-power map ; Stable equivalences ; Representation theory
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：469
• 期：Complete
• 页码：288-301
• 全文大小：319 K

文摘

We show that the p-power maps in the first Hochschild cohomology space of finite-dimensional selfinjective algebras over a field of prime characteristic p commute with stable equivalences of Morita type on the subgroup of classes represented by integrable derivations. We show, by giving an example, that the p-power maps do not necessarily commute with arbitrary transfer maps in the Hochschild cohomology of symmetric algebras.