Generalized super-Virsoro algebras and their Verma modules

摘要

For any additive subgroup M of a field F and alpha implied by F such that 2alpha implied by M, there are two classes of generalized super-Virasoro algebras denoted by SVir-tilde [M, alpha] and SVir[M, alpha] 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, alpha] are studied, and the irreducibility of these modules are obtained.