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

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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 χ-reduced… Click to show full abstract

Abstract Over a field of characteristic p > 2 , the first cohomology of the special linear Lie superalgebra sl ( 2 , 1 ) with coefficients in all χ-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: first cohomology; kac modules; coefficients reduced; modules simple; simple modules; reduced kac

Journal Title: Journal of Pure and Applied Algebra
Year Published: 2020

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