Periodic automorphisms, compatible Poisson brackets, and Gaudin subalgebras
From MaRDI portal
Publication:2044707
DOI10.1007/s00031-021-09650-3OpenAlexW3141836739MaRDI QIDQ2044707
Dmitri I. Panyushev, Oksana S. Yakimova
Publication date: 10 August 2021
Published in: Transformation Groups (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.10065
Semisimple Lie groups and their representations (22E46) Poisson algebras (17B63) Simple, semisimple, reductive (super)algebras (17B20) Coadjoint orbits; nilpotent varieties (17B08)
Related Items (2)
Automorphisms of finite order, periodic contractions, and Poisson-commutative subalgebras of \({\mathcal{S}}(\mathfrak{g})\) ⋮ A bi-Hamiltonian nature of the Gaudin algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Periodic automorphisms of Takiff algebras, contractions, and \(\theta \)-groups
- Infinite dimensional Lie algebras. An introduction
- The argument shift method and the Gaudin model
- The argument shift method and maximal commutative subalgebras of Poisson algebras
- Gaudin model, Bethe ansatz and critical level
- Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties
- Takiff algebras with polynomial rings of symmetric invariants
- Limits of Gaudin algebras, quantization of bending flows, Jucys-Murphy elements and Gelfand-Tsetlin bases
- On the coadjoint representation of \(\mathbb Z_2\)-contractions of reductive Lie algebras
- On symmetric invariants of centralisers in reductive Lie algebras
- One-parameter contractions of Lie-Poisson brackets
- Poisson structures and their normal forms
- ON CERTAIN COMMUTATIVE SUBALGEBRAS OF A UNIVERSAL ENVELOPING ALGEBRA
- EULER EQUATIONS ON FINITE-DIMENSIONAL LIE GROUPS
- AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS
- Symmetric invariants of ℤ2-contractions and other semi-direct products
- Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras
- Lie Group Representations on Polynomial Rings
- Orbits and Representations Associated with Symmetric Spaces
- A Proof of the Gaudin Bethe Ansatz Conjecture
- Webs, Lenard schemes, and the local geometry of bi-Hamiltonian Toda and Lax structures
This page was built for publication: Periodic automorphisms, compatible Poisson brackets, and Gaudin subalgebras