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Cohen–Montgomery Duality for Pseudo-actions of a Group
Bulletin of the Iranian Mathematical Society ( IF 0.7 ) Pub Date : 2020-08-28 , DOI: 10.1007/s41980-020-00413-6
Hideto Asashiba

Throughout this article, we fix a group G and a commutative ring \(\Bbbk \). This is an exposition on 2-equivalences between a 2-category of small \(\Bbbk \)-categories with pseudo G-actions and a 2-category of G-graded small \(\Bbbk \)-categories, which generalizes (Asashiba in Appl Categor Sturct 25(8):3278–3296, 2017). This article is a translation of some parts of Ch. 4 and 5 in the book (Asashiba in Categories and representation theory, focused on 2-categorical covering theory, SGC library 155, Saiensu-sha, 2019) in Japanese.



中文翻译:

群假动作的科恩-蒙哥马利对偶

在本文中,我们固定了一个群G和一个交换环\(\ Bbbk \)。这是对一个2类之间2-等价博览会小\(\ Bbbk \) -类别与 ģ -actions和的2类ģ -graded小\(\ Bbbk \) -类别,从而推广( Asashiba in Appl Categor Sturct 25(8):3278-3296,2017)。本文是Ch某些部分的翻译。书中的第4和第5页(类别和表示论浅浅,着重于2类覆盖理论,SGC图书馆155,Saiensu-sha,2019年)用日语编写。

更新日期:2020-08-28
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