Abstract
Over a field of characteristic $p \gt 2$; the low-dimensional cohomology groups of the special linear Lie superalgebra $\mathbf{A}(1;0)$ with coefficients in Witt superalgebra are computed by means of a direct sum decomposition of submodules and the weight space decomposition of the Witt superalgebra viewed as $\mathbf{A}(1;0)$-module. As application, the lowdimensional cohomology groups of $\mathbf{A}(1;0)$ with coefficients in Special superalgebra are also determined.
Citation
Wende Liu. Liping Sun. "LOW-DIMENSIONAL COHOMOLOGY OF LIE SUPERALGEBRA $A(1, 0)$ WITH COEFFICIENTS IN WITT OR SPECIAL SUPERALGEBRAS." Taiwanese J. Math. 17 (1) 83 - 107, 2013. https://doi.org/10.11650/tjm.17.2013.1812
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