The maximality of certain commutative subalgebras in the Poisson algebra of a semisimple Lie algebra
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Publication:4469856
DOI10.1070/RM2002v057n05ABEH000567zbMath1077.17019WikidataQ115323760 ScholiaQ115323760MaRDI QIDQ4469856
Publication date: 22 June 2004
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Related Items (19)
Fomenko-Mischenko theory, Hessenberg varieties, and polarizations ⋮ A remark on Mishchenko-Fomenko algebras and regular sequences ⋮ Gaudin models with irregular singularities ⋮ The argument shift method and the Gaudin model ⋮ Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties ⋮ Quantization of the shift of argument subalgebras in type \(A\) ⋮ On maximal commutative subalgebras of Poisson algebras associated with involutions of semisimple Lie algebras ⋮ Shift of argument algebras and de Concini–Procesi spaces ⋮ The Poisson center and polynomial, maximal Poisson commutative subalgebras, especially for nilpotent Lie algebras of dimension at most seven ⋮ Feigin-Frenkel center in types \(B\), \(C\) and \(D\) ⋮ Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces ⋮ On the fibres of Mishchenko-Fomenko systems ⋮ Crystals and monodromy of Bethe vectors ⋮ Slices for biparabolic coadjoint actions in type A ⋮ Degeneration of Bethe subalgebras in the Yangian of \(\mathfrak {gl}_n\) ⋮ The polynomiality of the Poisson center and semi-center of a Lie algebra and Dixmier's fourth problem ⋮ Gelfand-Tsetlin degeneration of shift of argument subalgebras in types B, C and D ⋮ Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras ⋮ Spectra of Bethe subalgebras of \(Y(\mathfrak{gl}_n)\) in tame representations
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