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2022 The Chow ring of the classifying space of the unitary group
Nikita A. Karpenko, Alexander S. Merkurjev
Algebra Number Theory 16(1): 139-154 (2022). 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.

Citation

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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

Information

Received: 5 October 2020; Revised: 12 February 2021; Accepted: 19 April 2021; Published: 2022
First available in Project Euclid: 9 May 2022

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

Rights: Copyright © 2022 Mathematical Sciences Publishers

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Vol.16 • No. 1 • 2022
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