New York Journal of Mathematics
Volume 21 (2015) 1055-1092


Marcus Zibrowius

Symmetric representation rings are λ-rings

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Published: October 26, 2015
Keywords: Symmetric representations, Witt ring, λ-ring
Subject: 20G05, 18F25

The representation ring of an affine algebraic group scheme can be endowed with the structure of a (special) λ-ring. We show that the same is true for the ring of symmetric representations, i.e., for the Grothendieck-Witt ring of the representation category, for any affine algebraic group scheme over a field of characteristic not two.

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Mathematisches Institut, Universitätsstr. 1, 40225 Düsseldorf, Germany