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

Kannan, Arun

Characters for Projective Modules in the BGG Category O for General Linear Lie Superalgebras 371 views

Author

Kannan, Arun, Department of Mathematics, University of Virginia

Advisors

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)

Keywords

representation theory; lie algebras; lie superalgebras; BGG Category O; translation functors

Language

English

Rights

Attribution 4.0 International (CC BY)

Issued Date

2018-07-03

Persistent Link

https://doi.org/10.18130/V3-7BQ0-CJ75

Suggested Citation

Kannan, Arun. Characters for Projective Modules in the BGG Category O for General Linear Lie Superalgebras. University of Virginia, Department of Mathematics, BS (Bachelor of Science), 2018-07-03, https://doi.org/10.18130/V3-7BQ0-CJ75.

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