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Christian Stump
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You find Macdonald polynomials defined for root systems for example in Macdonald's lecture series "Symmetric functions and orthogonal polynomaials", or as well in various places, like http://en.wikipedia.org/wiki/Macdonald_polynomials for the definition for any root system of finite type.

See also the old MO question universality of Macdonald polynomials and its detailed answers...

Christian Stump
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