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arXiv · 2207.04420

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

Shujuan Wang·Wende Liu
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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).

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Shujuan Wang, Wende Liu. 2022-07-10. The first cohomology of sl(2,1) with coefficients in $\chi$-reduced Kac modules and simple modules. https://doi.org/10.1016/j.jpaa.2020.106403

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