Geldhauser, Nikita and Lavrenov, Andrei and Petrov, Victor and Sechin, Pavel (2024) Morava K-theory of orthogonal groups and motives of projective quadrics. ADVANCES IN MATHEMATICS, 446: 109657. ISSN 0001-8708, 1090-2082
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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. (c) 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ALGEBRAIC COBORDISM; ORIENTED COHOMOLOGY; CHOW MOTIVES; VARIETIES; TORSION; DECOMPOSITIONS; INVARIANTS; OPERATIONS; SEQUENCE; MODULE; Linear algebraic groups; Twisted flag varieties; Oriented cohomology theories; Algebraic Morava K-theory; Motives |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Marc Hoyois |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Jul 2025 09:13 |
| Last Modified: | 15 Jul 2025 09:13 |
| URI: | https://pred.uni-regensburg.de/id/eprint/64848 |
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