Category \(\mathcal O\) for the rational Cherednik algebra associated to the complex reflection group \(G_{12}\).

DOI10.1016/j.jpaa.2011.08.011zbMath1260.20006arXiv1011.4126OpenAlexW1973729989MaRDI QIDQ425293

Martina Balagović, Christopher Policastro

Publication date: 8 June 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4126

zbMATH Keywords

Hecke algebrasirreducible modulesstandard modulescategory \(\mathcal O\)complex reflection groupsrational Cherednik algebras

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

Parabolic degeneration of rational Cherednik algebras

Uses Software

• Magma
• CHEVIE

Cites Work

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• Finite dimensional representations of the rational Cherednik algebra for \(G_4\).
• The Magma algebra system. I: The user language
• On the category \(\mathcal O\) for rational Cherednik algebras.
• Parabolic induction and restriction functors for rational Cherednik algebras.
• Catalan numbers for complex reflection groups
• Unitary representations of rational Cherednik algebras
• Finite Unitary Reflection Groups