Generalized Green Functions and Graded Hecke Algebras
نویسنده
چکیده
We state a conjecture which gives a combinatorial parametrization of the irreducible tempered representations with real central character of a graded Hecke algebra with unequal labels, associated to a root sytem of type B or C. This conjecture is based on a combinatorial generalization of the Springer correspondence in the classical (equal label) case. In particular, the described modules turn out to have a natural grading for the action of W0, and are completely determined by their central character together with the W0representation in the top degree. This latter is an irreducible W0-character which we call Springer correspondent.
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