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Foncteurs polynomiaux et foncteurs de Mackey non linéaires. (Polynomial functors and nonlinear Mackey functors). (French) Zbl 0995.18004
Let \(P_n({\mathbb{Z}})\) be the category of polynomial functors with degree \(\leq n\) for \(n\geq 1\) from the category of free abelian groups (of finite type) to the category of abelian groups.
Quadratic functors has been applied by H. J. Baues [J. Pure Appl. Algebra 91, No. 1-3, 49-107 (1994; Zbl 0790.55014)] to approach the category \(P_2({\mathbb{Z}})\). The authors make use of an appropriate notion of Mackey functors to present a neat description of the category \(P_n({\mathbb{Z}})\).

MSC:
18D10 Monoidal, symmetric monoidal and braided categories (MSC2010)
20C05 Group rings of finite groups and their modules (group-theoretic aspects)
20C30 Representations of finite symmetric groups
20C12 Integral representations of infinite groups
55U99 Applied homological algebra and category theory in algebraic topology
55P15 Classification of homotopy type
18G50 Nonabelian homological algebra (category-theoretic aspects)
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