Simple Harish-Chandra supermodules over the super Schrödinger algebra

Abstract

We study the N = 1 super Schrödinger algebra S in (1 + 1)-dimensional spacetime. The first part of this paper determines the necessary and sufficient conditions for highest weight supermodules over S to be simple. The paper also describes the structure of all Verma supermodules and determines all simple Harish-Chandra supermodules over S. Keywordssuper Schrödinger algebra, weight supermodule, simple supermodule, Harish-Chandra supermodules MSC(2010) 17B10, 17B65, 17B68Citation: Cai Y A, Gao Y, Wang Y J. Simple Harish-Chandra supermodules over the super Schrödinger algebra.