Cohomology of 𝔰𝔩₃ and 𝖌𝔩₃ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics

dc.contributor.authorIbraev, Sherali Sh.
dc.date.accessioned2026-01-07T13:44:45Z
dc.date.issued2022
dc.description.abstractWe calculate the cohomology of 𝔰𝔩₃(𝑘) over an algebraically closed field 𝑘 of characteristic 𝑝 > 3 with coefficients in simple modules and Weyl modules. We also give descriptions of the corresponding cohomology of 𝖌𝔩₃(𝑘).
dc.description.sponsorshipThis research is funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (grant No AP08855935). The author is grateful to the editor and referees whose comments greatly improved the exposition of this paper.
dc.identifier.citationCohomology of 𝔰𝔩₃ and 𝖌𝔩₃ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics. Sherali Sh. Ibraev. SIGMA 18 (2022), 026, 17 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2022.026
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 17B20; 17B45; 20G05
dc.identifier.otherarXiv:2203.16142
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/211642
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleCohomology of 𝔰𝔩₃ and 𝖌𝔩₃ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics
dc.typeArticle

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