Cohomology of ₃ and ₃ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• ISSN: 1815-0659
• Main Author: Ibraev, Sherali Sh.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211642
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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

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().