$G$-Categories

· American Mathematical Society: Memoirs of the American Mathematical Society Libro 482 · American Mathematical Soc.
Libro electrónico
129
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A [italic]G-category is a category on which a group [italic]G acts. This work studies the 2-category [italic]G-cat of [italic]G-categories, [italic]G-functors (functors which commute with the action of [italic]G) and [italic]G-natural transformations (natural transformations which commute with the [italic]G-action). There is a particular emphasis on the relationship between a [italic]G-category and its stable subcategory, the largest sub-[italic]G-category on which [italic]G operates trivially. Also contained here are some very general applications of the theory to various additive [italic]G-categories and to [italic]G-topoi.

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Robert Gordon has written for major publications in the U.S. and England, and has contributed to several books. He produced the Al green CD box set, "Anthology", for which his liner notes were Grammy nominated. As a filmmaker, he directed the award-winning blues documentary "All Day and All Night", and his music video work has appeared on MTV, BET, and CMT. He is the author of a forthcoming biography of Muddy Waters, and director of the companion documentary. He lives in Memphis with his wife and two daughters.

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