Chow rings of quasi-split geometrically almost simple algebraic groups

Alexey Ananyevskiy; Nikita Geldhauser

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arXiv · 2408.09390

Chow rings of quasi-split geometrically almost simple algebraic groups

Alexey Ananyevskiy·Nikita Geldhauser

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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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BibTeX RIS

Alexey Ananyevskiy, Nikita Geldhauser. 2024-08-18. Chow rings of quasi-split geometrically almost simple algebraic groups. https://arxiv.org/abs/2408.09390

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