Tensor Products of a Finite-Dimensional Representation and an Infinite-Dimensional Representation

Author

Felicia Dewanaga

Graduation Semester and Year

2016

Language

English

Document Type

Thesis

Degree Name

Master of Science in Mathematics

Department

Mathematics

First Advisor

Dimitar Grantcharov

Abstract

In this project, we explicitly find the decomposition of the tensor product of a Verma module $Z(\lambda)$ and the standard module ${\mathbb C}^n$ of the Lie algebras $\mathfrak{sl}(n)$, $n=2,3$. The result provides an explicit description of the translation functor introduced by Bernstein and Gelfand.

Keywords

Representation

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

Dewanaga, Felicia, "Tensor Products of a Finite-Dimensional Representation and an Infinite-Dimensional Representation" (2016). Mathematics Theses. 22.
https://mavmatrix.uta.edu/math_theses/22