Irreducible Characters and Clebsch-Gordan Series for the Exceptional Algebra E6: An Approach through the Quantum Calogero-Sutherland Model

DOI10.2991/jnmp.2005.12.s1.23zbMath1362.81044arXivmath-ph/0406067OpenAlexW2142959073MaRDI QIDQ5346931

A. M. Perelomov, W. García Fuertes, José Fernández Núñez

Publication date: 30 May 2017

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

Full work available at URL: https://arxiv.org/abs/math-ph/0406067

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (5)

Generating functions for characters and weight multiplicities of irreducible 𝓈𝓁(4)-modules ⋮ Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra \(E _{7}\) ⋮ Sutherland models for complex reflection groups ⋮ Some results on the eigenfunctions of the quantum trigonometric Calogero–Sutherland model related to the Lie algebra E6 ⋮ Quantum trigonometric Calogero-Sutherland model, irreducible characters and Clebsch-Gordan series for the exceptional algebra E7

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