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Memoirs of the American Mathematical Society
1993; 129 pp; softcover
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Order Code: MEMO/101/482
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.
Researchers in representation theory and algebraic topology.
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