The non-degeneracy of the bilinear form of \(m\)-quasi-invariants.

DOI10.1016/j.aam.2005.07.006zbMath1171.20313OpenAlexW2154704909MaRDI QIDQ863318

Nolan R. Wallach, Adriano M. Garsia

Publication date: 26 January 2007

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2005.07.006

zbMATH Keywords

Weyl groupsCoxeter groupsalgebras of quasi-invariantsfundamental bilinear formsrings of quasi-invariants

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (3)

The mathematics of Amitai Regev ⋮ Quasi-invariants of complex reflection groups ⋮ A new characterization for the \(m\)-quasiinvariants of \(S_n\) and explicit basis for two row hook shapes

Cites Work

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• Some applications of hypergeometric shift operators
• Integrals of polynomials associated with tableaux and the Garsia-Haiman conjecture
• Cherednik algebras and differential operators on quasi-invariants.
• Some new applications of orbit harmonics.
• Commutative rings of partial differential operators and Lie algebras
• Combinatorial aspects of the Baker-Akhiezer functions for \(S_2\)
• Some Conjectures for Root Systems
• Towards a WZ Evolution of the Mehta Integral

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