Macdonald positivity via the Harish-Chandra \(D\)-module

DOI10.1007/s00222-011-0339-2zbMath1238.05274OpenAlexW2141611544MaRDI QIDQ411384

Iain C.Gordon

Publication date: 4 April 2012

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-011-0339-2

zbMATH Keywords

Haiman's theorem

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Parametrization (Chow and Hilbert schemes) (14C05) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (4)

Some combinatorial identities related to commuting varieties and Hilbert schemes ⋮ Isospectral commuting variety, the Harish-Chandra \(\mathcal D\)-module, and principal nilpotent pairs ⋮ Macdonald polynomials as characters of Cherednik algebra modules ⋮ On inductive construction of Procesi bundles

Cites Work

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• Isospectral commuting variety, the Harish-Chandra \(\mathcal D\)-module, and principal nilpotent pairs
• The invariant holonomic system on a semisimple Lie algebra
• Principal nilpotent pairs in a semisimple Lie algebra. I
• Hilbert schemes, polygraphs and the Macdonald positivity conjecture
• Almost-commuting variety, D-modules, and Cherednik algebras

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