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Lectures on the affine Hecke algebras and Macdonald conjectures

Alexander A. Kirillov Jr.
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Abstract

These are the notes from a series of lectures the author gave at Harvard University in the Fall of 1994. The goal of these lectures is to give a self-contained exposition of recent result of Cherednik (\cite{C6}), who proved Macdonald's inner product conjectures (see \cite{M2}) for arbitrary root systems, using the algebraic structure he called ``double affine Hecke algebra''.

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BibTeXRIS

Alexander A. Kirillov Jr.. 1995-01-19. Lectures on the affine Hecke algebras and Macdonald conjectures. https://arxiv.org/abs/math/9501219

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