Characters for Projective Modules in the BGG Category O for General Linear Lie Superalgebras

Abstract

We determine the Verma multiplicities and the characters of projective modules for atypical blocks in the BGG Category O for the general linear Lie superalgebras gl(2|2) and gl(3|1). We then explicitly determine the composition factor multiplcities of Verma modules in the atypicality 2 block of gl(2|2).

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