Motivic cohomology of the Nisnevich classifying space of even Clifford groups
Fabio Tanania
Technische Universität Darmstadt, Germany
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Abstract
In this paper, we consider the split even Clifford group and compute the mod 2 motivic cohomology ring of its Nisnevich classifying space. The description we obtain is quite similar to the one provided for spin groups in [Math. Z. 301 (2022), no. 1, 41–74]. The fundamental difference resides in the behaviour of the second subtle Stiefel–Whitney class that is non-trivial for even Clifford groups, while it vanishes in the spin-case.
Cite this article
Fabio Tanania, Motivic cohomology of the Nisnevich classifying space of even Clifford groups. Doc. Math. 29 (2024), no. 1, pp. 191–208
DOI 10.4171/DM/931