Morava <i>J</i>-invariant
Abstract We compute the co-multiplication of the algebraic Morava K-theory for split orthogonal groups. This allows us to compute the decomposition of the Morava motives of generic maximal orthogonal Grassmannians and to compute a Morava K-theory analogue of the J -invariant in terms of the ordinary (Chow) J -invariant.
Authors
- Nikita Semenov (ORCID: https://orcid.org/0000-0001-6896-834X)
- V. A. Petrov (ORCID: https://orcid.org/0000-0003-4790-3621)
- Pavel Sechin (ORCID: https://orcid.org/0000-0002-8556-1119)
- Andrei Lavrenov (ORCID: https://orcid.org/0000-0003-1287-8315)
Institutions
- St Petersburg University (RU)
- University of Regensburg (DE)
- Ludwig-Maximilians-Universität München (DE)
Publication Details
- Journal
- Forum of Mathematics Sigma
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1017/fms.2025.10041
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Deutsche Forschungsgemeinschaft
- Bar-Ilan University
- Israel Science Foundation
- Ministry of Science and Higher Education of the Russian Federation
- Foundation for the Advancement of Theoretical Physics and Mathematics