A descent basis for the Garsia-Procesi module

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Combinatorial aspects of algebraic geometry (05E14)

Cites Work

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Hilbert schemes, polygraphs and the Macdonald positivity conjecture
A compositional shuffle conjecture specifying touch points of the Dyck path
A kicking basis for the two-column Garsia-Haiman modules
A proof of the shuffle conjecture
A combinatorial formula for Macdonald polynomials
A graded representation model for Macdonald's polynomials.

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