The algebraic structure of the gl(n|m) color Calogero–Sutherland models
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Publication:4260514
DOI10.1063/1.532434zbMath1001.81092arXivq-alg/9710005OpenAlexW3125047135MaRDI QIDQ4260514
Ke Wu, Guoxing Ju, Shi-Kun Wang
Publication date: 16 December 2002
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-alg/9710005
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Many-body theory; quantum Hall effect (81V70)
Related Items (4)
Unnamed Item ⋮ Boson-fermion duality in \(\text{SU}(m|n)\) supersymmetric Haldane-Shastry spin chain ⋮ On super Yangian covariance of the triple product system ⋮ Gauss decomposition of the Yangian \(Y({\mathfrak{gl}}_{m|n})\)
Cites Work
- Quantum Berezinian and the classical Capelli identity
- Super-YangianY(gl(1|1))and its oscillator realization
- Yang-Baxter equation in long-range interacting systems
- Infinite Symmetry of the Spin Systems with Inverse Square Interactions
- ‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principle
- Integrable Systems with Long-Range Interactions,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>Algebra, and Energy Spectrum
- Representations of super Yangian
- Symmetry of the Calogero model confined in the harmonic potential-Yangian and W algebra
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