An Equivariant Tensor Product on Mackey Functors

2015/08/17 by Michael A. Hill, Hill, Michael A., Kristen Mazur +1 · 5 citations
Mathematics · #18G99 #19A22 #20J05 #55P91 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1508.04062

openalex publication_date 2015/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For all subgroups H of a cyclic p-group G we define norm functors that build a G-Mackey functor from an H-Mackey functor. We give an explicit construction of these functors in terms of generators and relations based solely on the intrinsic, algebraic properties of Mackey functors and Tambara functors. We use these norm functors to define a monoidal structure on the category of Mackey functors where Tambara functors are the commutative ring objects.

Cited by

• Inverting Integers in Tambara Functors
• The RO(K)-graded homotopy of Klein-four normed Mackey functors
• Andre-Quillen (co)homology and Equivariant Stable Homotopy Theory
• The spectrum of the Burnside Tambara functor
• On minimal bases in homotopical combinatorics

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