Print Email Facebook Twitter Properties of the Racahpolynomials with regard to the Lie algebrarepresentation of sl(2;C) Title Properties of the Racahpolynomials with regard to the Lie algebrarepresentation of sl(2;C) Author Mol, Jan (TU Delft Electrical Engineering, Mathematics and Computer Science) Contributor Groenevelt, Wolter (mentor) Gijswijt, Dion (graduation committee) van Elderen, Emiel (graduation committee) Degree granting institution Delft University of Technology Date 2019-06-26 Abstract The Racah polynomial Rn(λ(x)) is a polynomial of degree n and is variable in λ(x). In this thesis two properties of this polynomial will be studied. One is the orthogonal property of the Racah polynomial. And the other is that the Racah polynomial can also be described as a polynomial of degree x and variable over λ(n). The Racah polynomials will be studied with the use of a representation of the Lie algebra of sl(2;C) and hypergeometric series. To do this, this Lie algebra will first be defined and then we will work towards defining the tensor product of three representations of the Lie algebra sl(2;C). From the tensor product, a series representation for the Racah polynomials will be found, which can be rewritten to a hypergeometric series. Then, the orthogonal property of sl(2;C) will be used to study the orthogonal property of the Racah polynomials. And the polynomial will be rewritten as a polynomial of degree x with the use of some identities of the hypergeometric series. Subject analysisRacah polynomialsLie AlgebraRacahrepresentation theory To reference this document use: http://resolver.tudelft.nl/uuid:078ce9b7-a6ff-492d-a2de-4705b88e4d03 Part of collection Student theses Document type bachelor thesis Rights © 2019 Jan Mol Files PDF Eigenschappen_van_de_Raca ... n_2_1_.pdf 571.04 KB Close viewer /islandora/object/uuid:078ce9b7-a6ff-492d-a2de-4705b88e4d03/datastream/OBJ/view