Witt vectors and Tambara functors

Autor(en): Brun, M
Stichwörter: ALGEBRA; BURNSIDE RING; colored theories; Mackey functors; Mathematics; Tambara functors; Witt vectors
Erscheinungsdatum: 2005
Herausgeber: ACADEMIC PRESS INC ELSEVIER SCIENCE
Journal: ADVANCES IN MATHEMATICS
Volumen: 193
Ausgabe: 2
Startseite: 233
Seitenende: 256
Zusammenfassung: 
We give a combinatorial description of the ring of G-Witt vectors on a polynomial algebra over the integers for every finite group G. Using this description we show that the functor, which takes a commutative 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 commutative rings with an action of G. © 2004 Elsevier Inc. All rights reserved.
ISSN: 00018708
DOI: 10.1016/j.aim.2004.05.002

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