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

Shujuan Wang; Wende Liu

doi:10.1016/j.jpaa.2020.106403

paper

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

arXiv:2207.04420 · doi:10.1016/j.jpaa.2020.106403

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).

References in corpus (1)

Cohomology of Lie superalgebras $s l_{m ∣ n}$ and $os p_{2∣2 n}$

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

Abstract

References in corpus (1)

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