The number of independent Traces and Supertraces on the Symplectic Reflection Algebra H1, η (Γ ≀ S N )

DOI10.1080/14029251.2018.1494768zbMath1417.17023arXiv1711.09950OpenAlexW2771005286MaRDI QIDQ4580375

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Publication date: 15 August 2018

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

Full work available at URL: https://arxiv.org/abs/1711.09950

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Deformations of associative rings (16S80) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items

Traces and supertraces on symplectic reflection algebras

Cites Work

• Generation of finite almost simple groups by conjugates.
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• Poisson orders, symplectic reflection algebras and representation theory
• Klein operator and the Number of independent Traces and Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System
• The number of independent traces and supertraces on symplectic reflection algebras
• Supertraces on the algebras of observables of the rational Calogero model with harmonic potential
• Notes on Coxeter Transformations and the McKay Correspondence
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