Limits of Gaudin algebras, quantization of bending flows, Jucys-Murphy elements and Gelfand-Tsetlin bases

DOI10.1007/s11005-010-0371-yzbMath1275.17026arXiv0710.4971OpenAlexW2111272730MaRDI QIDQ2270182

Alexander Chervov, Leonid Rybnikov, Gregorio Falqui

Publication date: 15 March 2010

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

Full work available at URL: https://arxiv.org/abs/0710.4971

zbMATH Keywords

Bethe ansatzGaudin modelGelfand-Tsetlin basesbending flows

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Applications of Lie algebras and superalgebras to integrable systems (17B80) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (9)

Gaudin models and multipoint conformal blocks: general theory ⋮ Conformal hypergeometry and integrability ⋮ Symmetrisation and the Feigin–Frenkel centre ⋮ Bethe subalgebras of the group algebra of the symmetric group ⋮ Quantizing Mishchenko–Fomenko subalgebras for centralizers via affine $W$-algebras ⋮ Gaudin algebras, RSK and Calogero–Moser cells in Type A ⋮ Periodic automorphisms, compatible Poisson brackets, and Gaudin subalgebras ⋮ Gaudin subalgebras and stable rational curves ⋮ A bi-Hamiltonian nature of the Gaudin algebras

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