Cohomology of ₃ and ₃ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics
We calculate the cohomology of ₃() over an algebraically closed field of characteristic > 3 with coefficients in simple modules and Weyl modules. We also give descriptions of the corresponding cohomology of ₃().
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2022 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2022
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211642 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Cohomology of ₃ and ₃ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics. Sherali Sh. Ibraev. SIGMA 18 (2022), 026, 17 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862708895756058624 |
|---|---|
| author | Ibraev, Sherali Sh. |
| author_facet | Ibraev, Sherali Sh. |
| citation_txt | Cohomology of ₃ and ₃ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics. Sherali Sh. Ibraev. SIGMA 18 (2022), 026, 17 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We calculate the cohomology of ₃() over an algebraically closed field of characteristic > 3 with coefficients in simple modules and Weyl modules. We also give descriptions of the corresponding cohomology of ₃().
|
| first_indexed | 2026-03-19T08:06:59Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211642 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-19T08:06:59Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ibraev, Sherali Sh. 2026-01-07T13:44:45Z 2022 Cohomology of ₃ and ₃ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics. Sherali Sh. Ibraev. SIGMA 18 (2022), 026, 17 pages 1815-0659 2020 Mathematics Subject Classification: 17B20; 17B45; 20G05 arXiv:2203.16142 https://nasplib.isofts.kiev.ua/handle/123456789/211642 https://doi.org/10.3842/SIGMA.2022.026 We calculate the cohomology of ₃() over an algebraically closed field of characteristic > 3 with coefficients in simple modules and Weyl modules. We also give descriptions of the corresponding cohomology of ₃(). This 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Cohomology of ₃ and ₃ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics Article published earlier |
| spellingShingle | Cohomology of ₃ and ₃ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics Ibraev, Sherali Sh. |
| title | Cohomology of ₃ and ₃ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics |
| title_full | Cohomology of ₃ and ₃ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics |
| title_fullStr | Cohomology of ₃ and ₃ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics |
| title_full_unstemmed | Cohomology of ₃ and ₃ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics |
| title_short | Cohomology of ₃ and ₃ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics |
| title_sort | cohomology of ₃ and ₃ with coefficients in simple modules and weyl modules in positive characteristics |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211642 |
| work_keys_str_mv | AT ibraevsheralish cohomologyof3and3withcoefficientsinsimplemodulesandweylmodulesinpositivecharacteristics |