Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras

DOI10.1090/ert/531zbMath1473.17031arXiv1711.03917OpenAlexW2767476298WikidataQ127194826 ScholiaQ127194826MaRDI QIDQ5240201

Oksana S. Yakimova, Alexander I. Molev

Publication date: 24 October 2019

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.03917

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Universal enveloping (super)algebras (17B35) Applications of Lie algebras and superalgebras to integrable systems (17B80) Poisson algebras (17B63) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (13)

Symmetrisation and the Feigin–Frenkel centre ⋮ On a canonical basis of a pair of compatible Poisson brackets on a symplectic Lie algebra ⋮ Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties ⋮ Automorphisms of finite order, periodic contractions, and Poisson-commutative subalgebras of \({\mathcal{S}}(\mathfrak{g})\) ⋮ The argument shift method in universal enveloping algebra \(U \mathfrak{gl}_d\) ⋮ On the singularities of Mishchenko-Fomenko systems ⋮ On the fibres of Mishchenko-Fomenko systems ⋮ A canonical basis of a pair of compatible Poisson brackets on a matrix algebra ⋮ Center at the critical level for centralizers in type \(A\) ⋮ Unnamed Item ⋮ Periodic automorphisms, compatible Poisson brackets, and Gaudin subalgebras ⋮ Gelfand-Tsetlin degeneration of shift of argument subalgebras in types B, C and D ⋮ A bi-Hamiltonian nature of the Gaudin algebras

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