The First Cohomology of osp(1,2)with Coefficients in Baby Verma Modules and Simple Modules
ALGEBRA COLLOQUIUM(2023)
摘要
Over a field of characteristic p>0 , the first cohomology of the orthogonal symplectic Lie superalgebra o s p ( 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 o s p ( 1,2 ) . As a byproduct, the first cohomology of o s p ( 1,2 ) with coefficients in the restricted enveloping algebra (under the adjoint action) is not trivial.
更多查看译文
关键词
orthogonal symplectic Lie superalgebras,baby Verma modules,simple modules,cohomology
AI 理解论文
溯源树
样例
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要