Classification of infinite dimensional irreducible modules for type I lie superalgebras

Abstract

All irreducible (finite and infinite dimensional) L-modules, for a type I basic classical Lie superalgebra L are classified in terms of their maximal Z -graded components. Moreover, it is shown that all irreducible L-modules admit an infinitesimal character. Typical infinite dimensional irreducible L-modules are also introduced and classified in terms of their infinitesimal characters.