Cohomology of sl3 and gl3 with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics
Abstract
We 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).
- Publication:
-
SIGMA
- Pub Date:
- March 2022
- DOI:
- arXiv:
- arXiv:2203.16142
- Bibcode:
- 2022SIGMA..18..026I
- Keywords:
-
- Lie algebra;
- simple module;
- cohomology;
- Mathematics - Representation Theory;
- Mathematics - Rings and Algebras
- E-Print:
- SIGMA 18 (2022), 026, 17 pages