Automorphisms of finite order, periodic contractions, and Poisson-commutative subalgebras of \({\mathcal{S}}(\mathfrak{g})\)
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Publication:2683805
DOI10.1007/s00209-022-03199-xOpenAlexW4318572185MaRDI QIDQ2683805
Dmitri I. Panyushev, Oksana S. Yakimova
Publication date: 15 February 2023
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.10664
Group actions on varieties or schemes (quotients) (14L30) Semisimple Lie groups and their representations (22E46) Poisson algebras (17B63) Simple, semisimple, reductive (super)algebras (17B20) Coadjoint orbits; nilpotent varieties (17B08)
Cites Work
- Unnamed Item
- Unnamed Item
- Parabolic contractions of semisimple Lie algebras and their invariants
- The index of centralizers of elements of reductive Lie algebras
- Periodic automorphisms of Takiff algebras, contractions, and \(\theta \)-groups
- The argument shift method and the Gaudin model
- The Gelfand-Cetlin system and quantization of the complex flag manifolds
- Commutative families of functions related to consistent Poisson brackets
- On invariant theory of \(\theta\)-groups
- A Harish-Chandra homomorphism for reductive group actions
- Periodic automorphisms, compatible Poisson brackets, and Gaudin subalgebras
- Crystals and monodromy of Bethe vectors
- Automorphisms of finite order of semisimple Lie algebras
- On the coadjoint representation of \(\mathbb Z_2\)-contractions of reductive Lie algebras
- One-parameter contractions of Lie-Poisson brackets
- Gaudin models with irregular singularities
- EULER EQUATIONS ON FINITE-DIMENSIONAL LIE GROUPS
- The index of a Lie algebra, the centralizer of a nilpotent element, and the normalizer of the centralizer
- Symmetric invariants of ℤ2-contractions and other semi-direct products
- On collective complete integrability according to the method of Thimm
- Compatible Poisson brackets associated with 2‐splittings and Poisson commutative subalgebras of S(g)
- Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras
- Lie Group Representations on Polynomial Rings
- Endomorphisms of linear algebraic groups
- Poisson-Commutative Subalgebras of 𝒮(𝔤) associated with Involutions
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