representation theory
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1: 26.19 Mathematical Applications
§26.19 Mathematical Applications
… ►Partitions and plane partitions have applications to representation theory (Bressoud (1999), Macdonald (1995), and Sagan (2001)) and to special functions (Andrews et al. (1999) and Gasper and Rahman (2004)). …2: Wolter Groenevelt
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►Groenevelt’s research interests is in special functions and orthogonal polynomials and their relations with representation theory and interacting particle systems.
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3: Donald St. P. Richards
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►He is editor of the book Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications, published by the American Mathematical Society in 1992, and coeditor of Representation Theory and Harmonic Analysis: A Conference in Honor of R. A. Kunze (with T.
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4: Joris Van der Jeugt
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►His research interests are in the following areas: Group theoretical methods in physics; Representation theory of Lie algebras, Lie superalgebras and quantum groups with applications in mathematical physics; 3-symbols and their relations to special functions and orthogonal polynomials; Quantum theory, finite quantum systems, quantum oscillator models, Wigner quantum systems; and Parabosons, parafermions and generalized quantum statistics.
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5: 27.13 Functions
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§27.13(iv) Representation by Squares
…6: 37.10 Other Orthogonal Polynomials of Two Variables
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►They were studied by Dunkl (1981) in connection with representation theory of the symmetric group.
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7: Bibliography T
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Representation Theory and Harmonic Analysis.
Contemporary Mathematics, Vol. 191, American Mathematical Society, Providence, RI.
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8: Bibliography G
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Bessel functions and representation theory. I.
J. Functional Analysis 22 (2), pp. 73–105.
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9: 18.38 Mathematical Applications
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Quadrature “Extended” to Pseudo-Spectral (DVR) Representations of Operators in One and Many Dimensions
…10: Bibliography V
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Special Functions and the Theory of Group Representations.
American Mathematical Society, Providence, RI.
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