The first cohomology of sl(2,1) with coefficients in $χ$-reduced Kac modules and simple modules (2207.04420v1)

Abstract: Over a field of characteristic p > 2, the first cohomology of the special linear Lie superalgebra sl(2,1) with coefficients in all \c{hi}-reduced Kac modules and simple modules is determined by use of the weight space decompositions of these modules relative to the standard Cartan subalgebra of sl(2,1).