Date of Award

5-2010

Document Type

Honors Thesis

Degree Name

Bachelor of Science

Department

Mathematics and Statistics

Abstract

Classical Lie algebras, like sl(2,C) can be represented using differential operators that act on polynomial space. These operators will take a different form when they are used on the space of polynomials of several variables and when the differentials are taken to be of higher order. We recall some known realizations and discuss possible deformations. In our two-parameter case we describe decomposition into indecomposable components.

Included in

Mathematics Commons

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