Cohomology of $\frak{q}(2)$ in prime characteristic
Shujuan Wang, Yang Liu, Wende Liu
TL;DR
This paper computes the 0- and 1-dimensional cohomology of the queer Lie superalgebra rak{q}(2) over an algebraically closed field of characteristic p>2, focusing on baby Verma modules and simple modules.
Contribution
It determines the cohomology groups of rak{q}(2) in prime characteristic for specific modules, a novel calculation in superalgebra cohomology.
Findings
Cohomology groups explicitly computed for baby Verma modules.
Cohomology groups explicitly computed for simple modules.
Results applicable to representation theory in prime characteristic.
Abstract
Over an algebraically closed field of characteristic , the 0-dimensional and 1-dimensional cohomology of the queer Lie superalgebra with coefficients in all baby Verma modules and all the simple modules are determined.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Finite Group Theory Research