On the Calogero–Moser space associated with dihedral groups

DOI10.5802/ambp.377zbMath1407.37092arXiv1708.09728OpenAlexW2963957476MaRDI QIDQ4610386

Cédric Bonnafé

Publication date: 15 January 2019

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09728

zbMATH Keywords

dihedral groupCalogero-Moser spaces

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (9)

Gaudin algebras, RSK and Calogero–Moser cells in Type A ⋮ A new family of isolated symplectic singularities with trivial local fundamental group ⋮ Computational aspects of Calogero-Moser spaces ⋮ On Calogero-Moser cellular characters for imprimitive complex reflection groups ⋮ AUTOMORPHISMS AND SYMPLECTIC LEAVES OF CALOGERO–MOSER SPACES ⋮ Syzygies for the vector invariants of the dihedral group ⋮ Calogero-Moser cells of dihedral groups at equal parameters ⋮ On a conjecture about cellular characters for the complex reflection group \(G(d,1,n)\) ⋮ Finite-dimensional representations of the symmetry algebra of the dihedral Dunkl-Dirac operator

Uses Software

• GAP
• Magma
• CHAMP

Cites Work

• Unnamed Item
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• Le Groupe des Traces de Poisson de Certaines Algèbres D'invariants
• BABY VERMA MODULES FOR RATIONAL CHEREDNIK ALGEBRAS
• Hecke Algebras with Unequal Parameters
• Représentations de dimension finie de l’algèbre de Cherednik rationnelle
• <scp>Champ</scp>: a Cherednik algebra<scp>Magma</scp>package

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