Some combinatorial identities related to commuting varieties and Hilbert schemes

DOI10.1007/s00208-012-0805-1zbMath1261.05127arXiv1011.5957OpenAlexW3102361546MaRDI QIDQ1945161

Gwyn Bellamy, Victor Ginzburg

Publication date: 3 April 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.5957

zbMATH Keywords

isospectral commuting variety

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Cites Work

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• Macdonald positivity via the Harish-Chandra \(D\)-module
• The invariant holonomic system on a semisimple Lie algebra
• On the eigenvalues of representations of reflection groups and wreath products
• Characters of the nullcone
• A random \(q,t\)-hook walk and a sum of Pieri coefficients
• Explicit plethystic formulas for Macdonald \((q,t)\)-Kostka coefficients
• Conjectures on the quotient ring by diagonal invariants
• Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
• On the category \(\mathcal O\) for rational Cherednik algebras.
• Principal nilpotent pairs in a semisimple Lie algebra. I
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• On the decomposition matrices of the quantized Schur algebra
• Hilbert schemes, polygraphs and the Macdonald positivity conjecture
• Equivariant Derived Category and Representation of Real Semisimple Lie Groups
• Universal KZB Equations: The Elliptic Case

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