ENGLISH

G-Categories

By Robert Gordon

Book information

Publisher
Amer Mathematical Society
Year
1993
ISBN
0821825437, 9780821825433
Language
english
Format
PDF
Filesize
10 MB (10298589 bytes)
Series
Memoirs of the American Mathematical Society
Pages
129\153
DPI
600
Orientation
yes
Scanned
yes
Time added
2014-09-08 00:04:51

Description

A $G$-category is a category on which a group $G$ acts. This work studies the $2$-category $G$-Cat of $G$-categories, $G$-functors (functors which commute with the action of $G$) and $G$-natural transformations (natural transformations which commute with the $G$-action). There is particular emphasis on the relationship between a $G$-category and its stable subcategory, the largest sub-$G$-category on which $G$ operates trivially. Also contained here are some very general applications of the theory to various additive $G$-categories and to $G$-topoi.

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