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arXiv · 1308.0796

Symmetric Representation Rings are $\lambda$-Rings

Marcus Zibrowius
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Abstract

The representation ring of an affine algebraic group scheme can be endowed with the structure of a (special) $\lambda$-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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Marcus Zibrowius. 2013-08-04. Symmetric Representation Rings are $\lambda$-Rings. https://arxiv.org/abs/1308.0796

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