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Morava K-theory of orthogonal groups and motives of projective quadrics

2020/11/30 by Andrei Lavrenov, Geldhauser, Nikita, Lavrenov, Andrei +4
Computer Science · Engineering · Mathematics · #20G15 #FOS: Mathematics #Graph Labeling and Dimension Problems #K-Theory and Homology (math.KT) #Mathematics and Applications #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2011.14720

openalex publication_date 2020/11/30 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We compute the algebraic Morava K-theory ring of split special orthogonal and spin groups. In particular, we establish certain stabilization results for the Morava K-theory of special orthogonal and spin groups. Besides, we apply these results to study Morava motivic decompositions of orthogonal Grassmannians. For instance, we determine all indecomposable summands of the Morava motives of a generic quadric.

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