Blocks for periplectic supergroups in positive characteristic Full article
| Journal |
Journal of Algebra
ISSN: 0021-8693 , E-ISSN: 1090-266X |
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| Output data | Year: 2025, Volume: 673, Pages: 222-259 Pages count : 38 DOI: 10.1016/j.jalgebra.2025.02.018 | ||||||
| Tags | Periplectic supergroup, Supermodule, Block of simple supermodules | ||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН». | FWNF-2022-0003 |
Abstract:
We consider the periplectic supergroup P (n) over a ground field k of characteristic p > 2. We show that there are four blocks of P(n) of simple supermodules L-& varepsilon; (lambda) corresponding to dominant weights lambda of even and odd lengths, and the even and odd parity & varepsilon; of their highest weight vector.
Cite:
Marko F.
, Zubkov A.N.
Blocks for periplectic supergroups in positive characteristic
Journal of Algebra. 2025. V.673. P.222-259. DOI: 10.1016/j.jalgebra.2025.02.018 WOS Scopus РИНЦ OpenAlex
Blocks for periplectic supergroups in positive characteristic
Journal of Algebra. 2025. V.673. P.222-259. DOI: 10.1016/j.jalgebra.2025.02.018 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Jan 26, 2024 |
| Published online: | Mar 5, 2025 |
| Published print: | Jul 1, 2025 |
Identifiers:
| Web of science: | WOS:001447946600001 |
| Scopus: | 2-s2.0-86000589437 |
| Elibrary: | 82237127 |
| OpenAlex: | W4408212185 |
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