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math.QA2004
Nonsymmetric Macdonald polynomials and matrix coefficients for unramified principal series
Bogdan Ion
We show how a certain limit of the nonsymmetric Macdonald polynomials appears in the representation theory of semisimple groups over p--adic fields as matrix coefficients for the u…
math.QA2004
Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials
Bogdan Ion
We establish a connection between (degenerate) nonsymmetric Macdonald polynomials and standard bases and dual standard bases of maximal parabolic modules of affine Hecke algebras.…