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math.CO2011★ 7 cited
Vector valued Macdonald polynomials
C. F. Dunkl, J. -G. Luque
This paper defines and investigates nonsymmetric Macdonald polynomials with values in an irreducible module of the Hecke algebra of type . These polynomials appear as simu…
math.CO2004
Hook-lengths and Pairs of Compositions
Charles F. Dunkl
The monomial basis for polynomials in N variables is labeled by compositions. To each composition there is associated a hook-length product, which is a product of linear functions…