A Proof of the Q-Macdonald-Morris Conjecture for Bcn (Memoirs of the American Mathematical Society)

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9780821825525: A Proof of the Q-Macdonald-Morris Conjecture for Bcn (Memoirs of the American Mathematical Society)

Macdonald and Morris gave a series of constant term $q$-conjectures associated with root systems. Selberg evaluated a multivariable beta type integral which plays an important role in the theory of constant term identities associated with root systems. Aomoto recently gave a simple and elegant proof of a generalization of Selberg's integral. Kadell extended this proof to treat Askey's conjectured $q$-Selberg integral, which was proved independently by Habsieger. This monograph uses a constant term formulation of Aomoto's argument to treat the $q$-Macdonald-Morris conjecture for the root system $BC_n$. The $B_n$, $B_n^{\lor}$, and $D_n$ cases of the conjecture follow from the theorem for $BC_n$. Some of the details for $C_n$ and $C_n^{\lor}$ are given. This illustrates the basic steps required to apply methods given here to the conjecture when the reduced irreducible root system $R$ does not have miniscule weight.

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Kadell, Kevin W. J.
Published by Amer Mathematical Society (1994)
ISBN 10: 0821825526 ISBN 13: 9780821825525
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Better World Books
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Book Description Amer Mathematical Society, 1994. Book Condition: Very Good. Former Library book. Great condition for a used book! Minimal wear. Bookseller Inventory # GRP83371518

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