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Box Product of Mackey Functors in Terms of Modules

2015/09/23 by Zhulin Li, Li, Zhulin
Mathematics · #Advanced Operator Algebra Research #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT

paper · pdf · doi:10.48550/arxiv.1509.07051

10 pages

arxiv created 2015/09/23 · openalex publication_date 2015/09/23 · arxiv updated 2015/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The box product of Mackey functors has been studied extensively in Lewis's notes. As shown in Thevenaz and Webb's paper, a Mackey functor may be identified with a module over a certain algebra, called the Mackey algebra. We aim at describing the box product, in the sense of Mackey algebra modules. For a cyclic p-group G, we recover a result from Mazur's thesis. We generalize it to a general finite group G in this article.

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