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arXiv · 1403.7577

The matrix representation of the first cohomology of $\frak{gl}_{0|2}$ with coefficients in the generalized Witt Lie superalgebra

Keli Zheng·Yongzheng Zhang
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Abstract

This paper is primarily concerned with the first cohomology of $\frak{gl}_{0|2}$ with coefficients in the generalized Witt Lie superalgebra, where $\frak{gl}_{0|2}$ is a subalgebra of the general linear Lie superalgebra. The derivations and inner derivations from $\frak{gl}_{0|2}$ into submodules of the generalized Witt Lie superalgebra are represented by matrices, respectively. Then the first cohomology of $\frak{gl}_{0|2}$ with coefficients in the generalized Witt Lie superalgebra is completely determined by matrices.

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Keli Zheng, Yongzheng Zhang. 2014-03-29. The matrix representation of the first cohomology of $\frak{gl}_{0|2}$ with coefficients in the generalized Witt Lie superalgebra. https://arxiv.org/abs/1403.7577

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