The matrix representation of the first cohomology of gl0|2 with coefficients in the generalized Witt Lie superalgebra
Abstract
This paper is primarily concerned with the first cohomology of gl0|2 with coefficients in the generalized Witt Lie superalgebra, where gl0|2 is a subalgebra of the general linear Lie superalgebra. The derivations and inner derivations from gl0|2 into submodules of the generalized Witt Lie superalgebra are represented by matrices, respectively. Then the first cohomology of gl0|2 with coefficients in the generalized Witt Lie superalgebra is completely determined by matrices.
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