Poisson-Commutative Subalgebras of 𝒮(𝔤) associated with Involutions

DOI10.1093/imrn/rnaa041OpenAlexW3021372721MaRDI QIDQ5862803

Oksana S. Yakimova, Dmitri I. Panyushev

Publication date: 10 March 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.00350

zbMATH Keywords

Lie-Poisson bracketPoisson-commutative subalgebras

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Poisson algebras (17B63) Root systems (17B22) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (5)

Symmetrisation and the Feigin–Frenkel centre ⋮ Automorphisms of finite order, periodic contractions, and Poisson-commutative subalgebras of \({\mathcal{S}}(\mathfrak{g})\) ⋮ Integrable systems associated to the filtrations of Lie algebras ⋮ Compatible Poisson brackets associated with 2‐splittings and Poisson commutative subalgebras of S(g) ⋮ A bi-Hamiltonian nature of the Gaudin algebras

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