首页|The First Cohomology of osp(1,2)with Coefficients in Baby Verma Modules and Simple Modules
The First Cohomology of osp(1,2)with Coefficients in Baby Verma Modules and Simple Modules
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Over a field of characteristic p＞2,the first cohomology of the orthogonal symplectic Lie superalgebra osp(1,2)with coefficients in baby Verma modules and simple modules is determined by use of the weight space decompositions of these modules relative to a Cartan subalgebra of osp(1,2).As a byproduct,the first cohomology of osp(1,2)with coefficients in the restricted enveloping algebra(under the adjoint action)is not trivial.
orthogonal symplectic Lie super algebrasbaby Verma modulessimple mod-ulescohomology
Shujuan Wang、Wende Liu
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School of Mathematical Sciences,Heilongjiang University Harbin 150080,China
School of Mathematics and Statistics,Hainan Normal University Haikou 571158,China
Heilongjiang Provincial Natural Science Foundation of ChinaNatural Science Foundation of China
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