Draft of Master’s report

Kyle Dailey, Master’s presentation, Friday, May 4, 2018, 1:00, Keller 404
Title:  Rahman Polynomials and Lie Algebra Representations

Abstract:  In this paper, we examine a close connection between a certain class of orthogonal polynomials and Lie algebra representations. We use a specific inner product to observe how polynomials arise within the structure of representations of special linear algebras. We also use this inner product to give proofs of properties of the polynomials, such as orthogonality and recurrence relations. Our paper is guided by previous results on the topic, in this paper we outline a new approach to  achieve these results, as well as the difference between our approach and previous papers on the topic.