Central extensions of preprojective algebras, the quantum Heisenberg algebra, and 2-dimensional complex reflection groups.

DOI10.1016/j.jalgebra.2006.01.005zbMath1171.16007arXivmath/0503393OpenAlexW2033638980MaRDI QIDQ2497422

Eric M. Rains, Pavel I. Etingof

Publication date: 4 August 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503393

zbMATH Keywords

central extensionsroot systemscyclotomic Hecke algebrasDynkin quiverscomplex reflection groupsdeformed preprojective algebrasfinite quiversquantum symmetric algebrasorders in semisimple algebraspreprojective componentsquantum Heisenberg algebra

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of quivers and partially ordered sets (16G20)

Related Items

On central extensions of preprojective algebras., The freeness and trace conjectures for parabolic Hecke subalgebras, Monodromy of Fuchsian systems on complex linear spaces, The freeness conjecture for Hecke algebras of complex reflection groups, and the case of the Hessian group \(G_{26}\)., The cubic Hecke algebra on at most 5 strands., A boson-fermion correspondence in cohomological Donaldson–Thomas theory, BMR Freeness for Icosahedral Family, Proof of the Broué-Malle-Rouquier conjecture in characteristic zero (after I. Losev and I. Marin-G. Pfeiffer), The BMR freeness conjecture for the 2-reflection groups, The BMR freeness conjecture for the tetrahedral and octahedral families, The BMR freeness conjecture for the first two families of the exceptional groups of rank 2, On refined filtration by supports for rational Cherednik categories \(\mathcal {O}\), Proof of the BMR conjecture for \(G_{20}\) and \(G_{21}\), Calabi-Yau Frobenius algebras.

Cites Work

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