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

dc.contributor.advisor	Grantcharov, Dimitar
dc.creator	Dewanaga, Felicia
dc.date.accessioned	2016-07-08T20:08:32Z
dc.date.available	2016-07-08T20:08:32Z
dc.date.created	2016-05
dc.date.issued	2016-05-05
dc.date.submitted	May 2016
dc.identifier.uri	http://hdl.handle.net/10106/25771
dc.description.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.
dc.format.mimetype	application/pdf
dc.subject	Representation
dc.title	Tensor Products of a Finite-Dimensional Representation and an Infinite-Dimensional Representation
dc.type	Thesis
dc.degree.department	Mathematics
dc.degree.name	Master of Science in Mathematics
dc.date.updated	2016-07-08T20:10:39Z
thesis.degree.department	Mathematics
thesis.degree.grantor	The University of Texas at Arlington
thesis.degree.level	Masters
thesis.degree.name	Master of Science in Mathematics
dc.type.material	text