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A New Derivation of the Inner Product Formula for the Macdonald Symmetric Polynomials

Published online by Cambridge University Press:  04 December 2007

KATSUHISA MIMACHI
KATSUHISA MIMACHI
Affiliation:
Department of Mathematics, Kyushu University, Hakozaki 33, Fukuoka 812, Japan; e-mail: minachi@math.kyushu-u.ac.jp
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Abstract

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We give a short proof of the inner product conjecture for the symmetric Macdonald polynomials of type A$_n-1$. As a special case, the corresponding constant term conjecture is also proved.

Keywords

Macdonald polynomialsMacdonald‘s inner product conjectureq-Selberg type integralsresidue calculusasymptotic analysis.
Type
Research Article
Information
Compositio Mathematica , Volume 113 , Issue 2 , September 1998 , pp. 117 - 122
Copyright
© 1998 Kluwer Academic Publishers