【摘要】 对域 F 的加法子群 M以及α∈F,且 2α∈M ,苏育才及赵开明定义了 2类广义Virasoro超代数 ,它们分别被记成SVir[M ,α]和SVir[M ,α],后者是前者的平凡扩张 .基于对同构的讨论 ,研究了SVir[M ,α]的Verma模 ,并且得到了这些模的不可约性 .更多还原

【Abstract】 For any additive subgroup M of a field F and α∈F such that 2α∈M ,there are two classes of generalized super-Virasoro algebras denoted by SVir [M,α] and SVir [M,α] by Su and Zhao. The latter is in fact a trivial extension of the former. In this paper,based on the discussion on isomorphisms,the Verma modules of Svir [ M,α] are studied,and the irreducibility of these modules are obtained.更多还原