Cuspidal Modules Of The Lie Superalgebras Osp(1|2n)

Author

Alekzander J. Malcom

Graduation Semester and Year

2010

Language

English

Document Type

Thesis

Degree Name

Master of Science in Mathematics

Department

Mathematics

First Advisor

Dimitar Grantcharov

Abstract

The classification of all bounded weight modules for the classical Lie superalgebras is an open question. Only recently, in fact, has the question been closed for the Lie algebras (see Mathieu). We give a differential algebra isomorphic to osp(1|2n), which is one of the remaining Lie superalgebras to have its modules classified. We also conjecture, following the results for the Lie algebra sp(2n), a method to finalize the classification for osp(1|2n).

Disciplines

Mathematics | Physical Sciences and Mathematics

License

This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.

Comments

Degree granted by The University of Texas at Arlington

Recommended Citation

Malcom, Alekzander J., "Cuspidal Modules Of The Lie Superalgebras Osp(1|2n)" (2010). Mathematics Theses. 1.
https://mavmatrix.uta.edu/math_theses/1