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.
准分裂几何近简代数群的周环
我们假定系数是一个域,计算准分裂几何近简代数群的周环。这将卡氏对分裂群的经典计算扩展到了非分裂的准分裂情形。为了证明这一点,我们引入并研究了等变共模周环,它非常适合研究准分裂群及其同素异形。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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