Characters for Projective Modules in the BGG Category O for General Linear Lie Superalgebras
Author:
Kannan, Arun, Department of Mathematics, University of Virginia
Kannan, Arun, Department of Mathematics, University of Virginia
Advisor:
Wang, Weiqiang, Department of Mathematics, University of Virginia
Wang, Weiqiang, Department of Mathematics, University of Virginia
Abstract:
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.
Degree:
BS (Bachelor of Science)
BS (Bachelor of Science)
Keywords:
representation theory, lie algebras, lie superalgebras, BGG Category O, translation functors
representation theory, lie algebras, lie superalgebras, BGG Category O, translation functors
Language:
English
English
Issued Date:
2018/07/03
2018/07/03
