Poisson commutative subalgebras associated with a Cartan subalgebra
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Publication:6564494
DOI10.1007/S00229-024-01545-3MaRDI QIDQ6564494
Publication date: 1 July 2024
Published in: Manuscripta Mathematica (Search for Journal in Brave)
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
- Opers with irregular singularity and spectra of the shift of argument subalgebra
- The argument shift method and the Gaudin model
- The argument shift method and maximal commutative subalgebras of Poisson algebras
- Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
- Bethe subalgebras in twisted Yangians
- Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties
- On symmetric invariants of centralisers in reductive Lie algebras
- Poisson structures and their normal forms
- Gaudin models with irregular singularities
- Reductive subalgebras of semisimple Lie algebras and Poisson commutativity
- On some commutative subalgebras of the universal enveloping algebra of the Lie algebra \({\mathfrak {gl}} (n,\mathbb{C})\)
- ON CERTAIN COMMUTATIVE SUBALGEBRAS OF A UNIVERSAL ENVELOPING ALGEBRA
- Centralizers of certain quadratic elements in Poisson-Lie algebras and the method of translation of invariants
- EULER EQUATIONS ON FINITE-DIMENSIONAL LIE GROUPS
- The maximality of certain commutative subalgebras in the Poisson algebra of a semisimple Lie algebra
- Uniqueness of liftings of maximal commutative subalgebras of the Poisson-Lie algebra to the enveloping algebra
- Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras
- Lie Group Representations on Polynomial Rings
- Webs, Lenard schemes, and the local geometry of bi-Hamiltonian Toda and Lax structures
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