August 18, 2024Open Access

Chow rings of quasi-split geometrically almost simple algebraic groups

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Abstract

We compute the Chow ring of a quasi-split geometrically almost simple algebraic group assuming the coefficients to be a field. This extends the classical computation for split groups done by Kac to the non-split quasi-split case. For the proof we introduce and study equivariant conormed Chow rings, which are well adapted to the study of quasi-split groups and their homogeneous varieties.

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Ananyevskiy et al. (Sun,) studied this question.

synapsesocial.com/papers/68e5bd48b6db643587555942 https://doi.org/https://doi.org/10.48550/arxiv.2408.09390

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