有限维Cartan型模李超代数的保积Hom-结构

Multiplicative Horn-Structures on Finite Dimensional Modular Lie Superalgebras of Cartan Type

在特征大于3的代数闭域上,利用Cartan型模李超代数的自然滤过不变性,通过计算Cartan型模李超代数的Hom-映射在其-1分支上的作用,本文证明了有限维Cartan型模李超代数的保积Hom-结构是平凡的.

Let F be an algebraically closed field of characteristic p > 3.Using the invariance of the natural filtration and calculating the actions on the —1 components for the Hom-structures of the modular Lie superalgebras under consideration,we prove that there exists only the trivial multiplicative Horn-structures on the finite dimensional Z-graded modular Lie superalgebras of Cartan type.