Direct limits and inverse limits of Mackey functors

Masaharu Morimoto

doi:10.1016/j.jalgebra.2016.09.002

Direct limits and inverse limits of Mackey functors

Masaharu Morimoto

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Let G be a finite group, S the subgroup category of G, and M a Mackey functor on G. For full subcategories G and H of S, we have the direct limit M_⁎(G) and the inverse limit M^⁎(H) of M. In this paper we study relation between the canonical homomorphisms ind:M_⁎(G)→M(G) and res:M(G)→M^⁎(H).

Original language	English
Pages (from-to)	68-76
Number of pages	9
Journal	Journal of Algebra
Volume	470
DOIs	https://doi.org/10.1016/j.jalgebra.2016.09.002
Publication status	Published - Jan 15 2017

Keywords

Burnside ring
Green ring functor
Mackey functor

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2016.09.002

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title = "Direct limits and inverse limits of Mackey functors",

abstract = "Let G be a finite group, S the subgroup category of G, and M a Mackey functor on G. For full subcategories G and H of S, we have the direct limit M⁎(G) and the inverse limit M⁎(H) of M. In this paper we study relation between the canonical homomorphisms ind:M⁎(G)→M(G) and res:M(G)→M⁎(H).",

keywords = "Burnside ring, Green ring functor, Mackey functor",

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PY - 2017/1/15

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N2 - Let G be a finite group, S the subgroup category of G, and M a Mackey functor on G. For full subcategories G and H of S, we have the direct limit M⁎(G) and the inverse limit M⁎(H) of M. In this paper we study relation between the canonical homomorphisms ind:M⁎(G)→M(G) and res:M(G)→M⁎(H).

AB - Let G be a finite group, S the subgroup category of G, and M a Mackey functor on G. For full subcategories G and H of S, we have the direct limit M⁎(G) and the inverse limit M⁎(H) of M. In this paper we study relation between the canonical homomorphisms ind:M⁎(G)→M(G) and res:M(G)→M⁎(H).

KW - Burnside ring

KW - Green ring functor

KW - Mackey functor

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JO - Journal of Algebra

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