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


Ibraev S.Sh.
2022Institute of Mathematics

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
2022#18

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).

cohomology , Lie algebra , simple module

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Korkyt Ata Kyzylorda University, Aiteke bie St., 29A, Kzylorda, 120014, Kazakhstan

Korkyt Ata Kyzylorda University

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