"Non-Additive Exact Functors and Tensor Induction for Mackey Functors" - Information and Links:

Non-Additive Exact Functors and Tensor Induction for Mackey Functors - Info and Reading Options

"Non-Additive Exact Functors and Tensor Induction for Mackey Functors" was published by American Mathematical Society in 2000 - Providence, RI, the book is classified in Functor theory genre, it has 74 pages and the language of the book is English.


“Non-Additive Exact Functors and Tensor Induction for Mackey Functors” Metadata:

  • Title: ➤  Non-Additive Exact Functors and Tensor Induction for Mackey Functors
  • Author:
  • Language: English
  • Number of Pages: 74
  • Is Family Friendly: Yes - No Mature Content
  • Publisher: American Mathematical Society
  • Publish Date:
  • Publish Location: Providence, RI
  • Genres: Functor theory

“Non-Additive Exact Functors and Tensor Induction for Mackey Functors” Subjects and Themes:

Edition Specifications:

  • Format: [electronic resource]
  • Pagination: ➤  1 online resource (viii, 74 p.)

Edition Identifiers:

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Snippets and Summary:

First the author introduces a generalization of the notion of (right)-exact functor between abelian categories to the case of non-additive functors.

"Non-Additive Exact Functors and Tensor Induction for Mackey Functors" Description:

Google Books:

First the author introduces a generalization of the notion of (right)-exact functor between abelian categories to the case of non-additive functors. The main result of this section is an extension theorem: any functor defined on a suitable subcategory can be extended uniquely to a right exact functor defined on the whole category. Next those results are used to define various functors of generalized tensor induction, associated to finite bisets, between categories attached to finite groups. This includes a definition of tensor induction for Mackey functors, for cohomological Mackey functors, for p-permutation modules and algebras. This also gives a single formalism of bisets for restriction, inflation, and ordinary tensor induction for modules.

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