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Macdonald Polynomials
Language: en
Pages: 137
Authors: Masatoshi Noumi
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Type: BOOK - Published: - Publisher: Springer Nature

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Symmetric Functions and Orthogonal Polynomials
Language: en
Pages: 71
Authors: Ian Grant Macdonald
Categories: Mathematics
Type: BOOK - Published: 1998 - Publisher: American Mathematical Soc.

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One of the most classical areas of algebra, the theory of symmetric functions and orthogonal polynomials, has long been known to be connected to combinatorics,
The $q,t$-Catalan Numbers and the Space of Diagonal Harmonics
Language: en
Pages: 178
Authors: James Haglund
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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This work contains detailed descriptions of developments in the combinatorics of the space of diagonal harmonics, a topic at the forefront of current research i
Jack, Hall-Littlewood and Macdonald Polynomials
Language: en
Pages: 386
Authors: Vadim B. Kuznetsov
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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The subject of symmetric functions began with the work of Jacobi, Schur, Weyl, Young and others on the Schur polynomials. In the 1950's and 60's, far-reaching g
Affine Hecke Algebras and Orthogonal Polynomials
Language: en
Pages: 200
Authors: I. G. Macdonald
Categories: Mathematics
Type: BOOK - Published: 2003-03-20 - Publisher: Cambridge University Press

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First account of a theory, created by Macdonald, of a class of orthogonal polynomial, which is related to mathematical physics.