Date of Award
Bachelor of Science
Mathematics and Statistics
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.
Sidoli, Scott, "Certain Two-Parameter Representations of the Lie Algebra sl(2,C)" (2010). Mathematics and Statistics. 1.