Quasi-invariants of complex reflection groups

DOI10.1112/S0010437X10005063zbMath1233.16018arXiv0912.4518OpenAlexW3103154210WikidataQ59902942 ScholiaQ59902942MaRDI QIDQ3008422

Oleg A. Chalykh, Yuri Yu. Berest

Publication date: 15 June 2011

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.4518

zbMATH Keywords

Hecke algebrasWeyl algebrasCoxeter groupsroot systemscomplex reflection groupsrings of differential operatorsDunkl operatorsrational Cherednik algebrasrings of quasi-invariantsspherical algebras

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Hecke algebras and their representations (20C08) Geometric invariant theory (14L24) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Rings of differential operators (associative algebraic aspects) (16S32) Simple, semisimple, reductive (super)algebras (17B20) Lie algebras of linear algebraic groups (17B45)

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