SYMPLECTIC AND ORTHOGONAL LIE ALGEBRA TECHNOLOGY FOR BOSONIC AND FERMIONIC OSCILLATOR MODELS OF INTEGRABLE SYSTEMS

DOI10.1142/S0217751X01002890zbMath1016.81029arXivmath-ph/0007040WikidataQ115246413 ScholiaQ115246413MaRDI QIDQ2716687

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Publication date: 19 August 2001

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0007040

zbMATH Keywords

symplectic Lie algebrametaplectic representationalgebraic Bethe ansatzFock spaceintegrable systemspin representationorthogonal Lie algebraquantum integrable modelsYang-Baxter algebrasbosonic oscillator modelfermionic oscillator model

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Simple, semisimple, reductive (super)algebras (17B20) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)

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