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Symmetry, Integrability and Geometry: Methods and Applications, 2022, Volume 18, 026, 17 pp.
DOI: https://doi.org/10.3842/SIGMA.2022.026 (Mi sigma1820) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Cohomology of $\mathfrak{sl}_3$ and $\mathfrak{gl}_3$ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics

Sherali Sh. Ibraev

Korkyt Ata Kyzylorda University, Aiteke bie St., 29A, 120014, Kzylorda, Kazakhstan
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DOI: https://doi.org/10.3842/SIGMA.2022.026
Abstract: We calculate the cohomology of $\mathfrak{sl}_3(k)$ 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 $\mathfrak{gl}_3(k)$.
Keywords: Lie algebra, simple module, cohomology.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP08855935
This research is funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (grant No AP08855935).
Received: August 12, 2021; in final form March 26, 2022; Published online March 30, 2022
Bibliographic databases:
Document Type: Article
MSC: 17B20, 17B45, 20G05
Language: English
Citation: Sherali Sh. Ibraev, “Cohomology of $\mathfrak{sl}_3$ and $\mathfrak{gl}_3$ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics”, SIGMA, 18 (2022), 026, 17 pp.
Citation in format AMSBIB
\Bibitem{Ibr22}
\by Sherali~Sh.~Ibraev
\paper Cohomology of $\mathfrak{sl}_3$ and $\mathfrak{gl}_3$ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics
\jour SIGMA
\yr 2022
\vol 18
\papernumber 026
\totalpages 17
\mathnet{http://mi.mathnet.ru/sigma1820}
\crossref{https://doi.org/10.3842/SIGMA.2022.026}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4401804}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85126032297}
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    • This publication is cited in the following 1 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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