Antilinear deformations of Coxeter groups, an application to Calogero models

DOI10.1088/1751-8113/43/32/325201zbMath1198.81127arXiv1004.0916OpenAlexW2095889461MaRDI QIDQ3583348

Monique Smith, Andreas Fring

Publication date: 27 August 2010

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

Full work available at URL: https://arxiv.org/abs/1004.0916

zbMATH Keywords

Coxeter groupsroot spacenon-Hermitian HamiltoniansCalogero modelsanyonic exchange

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Exactly and quasi-solvable systems arising in quantum theory (81U15) Root systems (17B22)

Related Items (7)

Infinite affine, hyperbolic and Lorentzian Weyl groups with their associated Calogero models ⋮ Dominant weight multiplicities in hybrid characters of \(B_n\), \(C_n\), \(F_4\), \(G_2\) ⋮ \( \mathcal{P}\mathcal{T} \) deformation of angular Calogero models ⋮ Non-Hermitian systems of Euclidean Lie algebraic type with real energy spectra ⋮ \(\mathcal{PT}\) invariant complex \(E_{8}\) root spaces ⋮ \( \mathcal{P}\mathcal{T} \) deformation of Calogero-Sutherland models ⋮ Complex BPS solitons with real energies from duality

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