English

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

Representation Theory 2022-07-12 v1

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).

Keywords

Cite

@article{arxiv.2207.04420,
  title  = {The first cohomology of sl(2,1) with coefficients in $\chi$-reduced Kac modules and simple modules},
  author = {Shujuan Wang and Wende Liu},
  journal= {arXiv preprint arXiv:2207.04420},
  year   = {2022}
}