Characters for Projective Modules in the BGG Category O for General Linear Lie Superalgebras
Kannan, Arun, Department of Mathematics, University of Virginia
Wang, Weiqiang, Department of Mathematics, University of Virginia
In this thesis, we determine the characters of certain projective modules in the BGG Category O for the general linear Lie superalgebras gl(2|1), gl(2|2), and gl(3|1). In particular, we compute standard filtrations for projective modules of atypical weights by the method of translation functors.
BS (Bachelor of Science)
representation theory, lie algebras, lie superalgebras, BGG Category O, translation functors