Ideals generated by traces in the algebra of symplectic reflections \(H_{1,\nu_1,\nu_2}(I_2(2m))\)

DOI10.1134/S004057791605007XzbMath1371.16029OpenAlexW2463089148MaRDI QIDQ309325

I. V. Tyutin, S. E. Konshteĭn

Publication date: 7 September 2016

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s004057791605007x

zbMATH Keywords

tracegroup algebraCoxeter groupidealalgebra of symplectic reflectionssupertrace

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Twisted and skew group rings, crossed products (16S35)

Related Items (2)

From Coxeter higher-spin theories to strings and tensor models ⋮ Ideals generated by traces or by supertraces in the symplectic reflection algebra H_{1, ν} (I₂(2m + 1))

Cites Work

• Unnamed Item
• Completions of symplectic reflection algebras.
• Three-particle Calogero model: Supertraces and ideals on the algebra of observables
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• Traces on the Algebra of Observables of the Rational CalogeroModel Based on the Root System
• Klein operator and the Number of independent Traces and Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System
• Supertraces on the algebras of observables of the rational Calogero model with harmonic potential

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