Supports of irreducible spherical representations of rational Cherednik algebras of finite Coxeter groups. (With an appendix by Stephen Griffeth).

DOI10.1016/j.aim.2011.09.006zbMath1238.20008arXiv0911.3208OpenAlexW2048616328MaRDI QIDQ664769

Pavel I. Etingof

Publication date: 2 March 2012

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

Full work available at URL: https://arxiv.org/abs/0911.3208

zbMATH Keywords

finite Coxeter groupsrational Cherednik algebrassupportsirreducible spherical representations

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of quivers and partially ordered sets (16G20) Associative rings and algebras arising under various constructions (16S99)

Related Items

Heisenberg algebra, wedges and crystals ⋮ Parabolic degeneration of rational Cherednik algebras ⋮ Irreducible representations of the rational Cherednik algebra associated to the Coxeter group \(H_3\). ⋮ Category \(\mathcal O\) for the rational Cherednik algebra associated to the complex reflection group \(G_{12}\). ⋮ Exterior powers of the reflection representation in Springer theory ⋮ Parking spaces. ⋮ Geometric representations of graded and rational Cherednik algebras ⋮ The Dunkl weight function for rational Cherednik algebras

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