Date of Award

1992

Degree Type

Thesis

Degree Name

M.Sc.

Department

Mathematics and Statistics

Keywords

Mathematics.

Rights

CC BY-NC-ND 4.0

Abstract

This thesis centers mainly on the simple Lie algebras of type $C\sb{n}$ over the complex numbers. A completely pointed module is defined to be an infinite dimensional simple highest weight module all of whose weight spaces are one dimensional. We construct examples of completely pointed $C\sb{n}$-modules and give a complete characterization of all such modules. We then study the tensor product of a completely pointed $C\sb{n}$-module with a finite dimensional module and classify all the possible central characters which can appear. Examples indicate that this tensor product is completely reducible and that all the possible central characters actually appear.Dept. of Mathematics and Statistics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1992 .H666. Source: Masters Abstracts International, Volume: 31-04, page: 1808. Thesis (M.Sc.)--University of Windsor (Canada), 1992.

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