On Unitary Submodules in the Polynomial Representations of Rational Cherednik Algebras

DOI10.1093/imrn/rnr140zbMath1298.20008arXiv1010.4245OpenAlexW2963409130MaRDI QIDQ2909338

Misha V. Feigin, Constantin A. Shramov

Publication date: 30 August 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.4245

zbMATH Keywords

Weyl groupsunitary representationssimple modulescategory \(\mathcal O\)polynomial representationscomplex reflection groupsrational Cherednik algebrasunitary modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Hecke algebras and their representations (20C08) 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 (5)

Unitary representations of the Cherednik algebra: \(V^*\)-homology ⋮ UNITARY REPRESENTATIONS OF CYCLOTOMIC HECKE ALGEBRAS AT ROOTS OF UNITY: COMBINATORIAL CLASSIFICATION AND BGG RESOLUTIONS ⋮ Generalized Macdonald-Ruijsenaars systems. ⋮ Jack polynomials as fractional quantum Hall states and the Betti numbers of the \((k+1)\)-equals ideal ⋮ On BGG resolutions of unitary modules for quiver Hecke and Cherednik algebras

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