Ideals generated by traces or by supertraces in the symplectic reflection algebra H1, ν (I2(2m + 1))

DOI10.1080/14029251.2017.1341702zbMath1422.16030arXiv1612.00536OpenAlexW3104287527MaRDI QIDQ5231079

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Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00536

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Applications of Lie (super)algebras to physics, etc. (17B81) Deformations of associative rings (16S80) ``Super (or ``skew) structure (16W55) Associative rings and algebras arising under various constructions (16S99)

Related Items (1)

Connection between the ideals generated by traces and by supertraces in the superalgebras of observables of Calogero models

Cites Work

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• Ideals generated by traces in the algebra of symplectic reflections \(H_{1,\nu_1,\nu_2}(I_2(2m))\)
• 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.
• Poisson orders, symplectic reflection algebras and representation theory
• 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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