Braided doubles and rational Cherednik algebras.

DOI10.1016/j.aim.2008.11.004zbMath1167.16017arXiv0706.0243OpenAlexW2137202151MaRDI QIDQ1007229

Yuri Bazlov, Arkady Berenstein

Publication date: 20 March 2009

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

Full work available at URL: https://arxiv.org/abs/0706.0243

zbMATH Keywords

modulesHopf algebrasuniversal enveloping algebrasreflection groupsCherednik algebrasbraided doubles

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Universal enveloping algebras of Lie algebras (16S30)

Related Items

Pointed Hopf algebras with triangular decomposition. A characterization of multiparameter quantum groups, PBW deformations of braided products, A Poincaré-Birkhoff-Witt theorem for quadratic algebras with group actions, Generalized nil-Coxeter algebras, cocommutative algebras, and the PBW property, Double canonical bases, Characterization of quasi-Yetter–Drinfeld modules, Heisenberg Double ℋ(B*) as a Braided Commutative Yetter–Drinfeld Module Algebra Over the Drinfeld Double, On Fomin–Kirillov algebras for complex reflection groups, Functoriality of the BGG Category 𝒪††, Braided Drinfeld and Heisenberg doubles.

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