Ideals of the enveloping algebra U(osp(1, 2)) 1

C. BURDIK , M. HAVLI CEK ,

Abstract

We explore the general form of two sided ideals of the enveloping algebra of the Lie superalgebra osp(1, 2). We begin by disclosing the internal structure of U(osp(1, 2)) computing the decomposition of adjoint representation. The classification of the ideals we reach is done via presenting generators for the each ideal and by showing that each ideal is generated uniquely.