Witt vectors and Tambara functors

Details Witt vectors and Tambara functors Witt vectors and Tambara functors

2003-04-30

arxiv.org/abs/math/0304495v2

Mathematics

Commutative Algebra

22 pages, minor correctins

Scientific paper

We give, for every finite group G, a combinatorial description of the ring of G-Witt vectors on a polynomial algebra over the integers. Using this description we show that the functor, which takes a ring with trivial action of G to its ring of Witt vectors, coincides with the left adjoint of the algebraic functor from the category of G-Tambara functors to the category of rings with an action of G.

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