The Chow ring of the classifying space of the unitary group

Nikita A. Karpenko; Alexander S. Merkurjev

doi:10.2140/ant.2022.16.139

Abstract

We fill a gap in the literature by computing the Chow ring of the classifying space of the unitary group of a hermitian form on a finite-dimensional vector space over a separable quadratic field extension.

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Nikita A. Karpenko. Alexander S. Merkurjev. "The Chow ring of the classifying space of the unitary group." Algebra Number Theory 16 (1) 139 - 154, 2022. https://doi.org/10.2140/ant.2022.16.139

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Received: 5 October 2020; Revised: 12 February 2021; Accepted: 19 April 2021; Published: 2022

First available in Project Euclid: 9 May 2022

MathSciNet: MR4384565

zbMATH: 1482.14007

Digital Object Identifier: 10.2140/ant.2022.16.139

Subjects:

Primary: 14C25 , 20G15

Keywords: algebraic groups , Chow groups , classifying spaces , hermitian forms , torsors , unitary groups

Abstract

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