Algebraic Bethe ansatz for the elliptic quantum group Eτ,η(A2(2))

DOI10.1063/1.2823974zbMath1153.81400arXiv0704.3032OpenAlexW1997915625MaRDI QIDQ3544567

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Publication date: 8 December 2008

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

Full work available at URL: https://arxiv.org/abs/0704.3032

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) Exactly solvable models; Bethe ansatz (82B23)

Cites Work

• On representations of the elliptic quantum group \(E_ \tau,\eta(sl_ 2)\)
• Quantum R matrix for the generalized Toda system
• Algebraic Bethe ansatz for the elliptic quantum group \(E_{\tau,\eta}(sl_n)\) and its applications
• Algebraic Bethe ansatz for the elliptic quantum group \(E_{\tau,\eta} (sl_2\))
• The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems
• Creation operators and algebraic Bethe ansatz for the elliptic quantum groupE_τ,η(so₃)
• The Drinfeld realization of the elliptic quantum group Bq,λ(A2(2))

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