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).