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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
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Symmetric Functions and Hall Polynomials
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Type: BOOK - Published: 1998 - Publisher: Oxford University Press

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This reissued classic text is the acclaimed second edition of Professor Ian Macdonald's groundbreaking monograph on symmetric functions and Hall polynomials. Th
Bounded Littlewood Identities
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We describe a method, based on the theory of Macdonald–Koornwinder polynomials, for proving bounded Littlewood identities. Our approach provides an alternativ
The $q,t$-Catalan Numbers and the Space of Diagonal Harmonics
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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