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Uniqueness of liftings of maximal commutative subalgebras of the Poisson-Lie algebra to the enveloping algebra

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Publication:4658224
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DOI10.1070/SM2003v194n07ABEH000757zbMath1064.17005OpenAlexW2007542047WikidataQ115317318 ScholiaQ115317318MaRDI QIDQ4658224

A. A. Tarasov

Publication date: 16 March 2005

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2003v194n07abeh000757


zbMATH Keywords

universal enveloping algebrasPoisson algebrasMishchenko-Fomenko subalgebrascommutative subalgebras of Lie algebras


Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Poisson algebras (17B63) Universal enveloping algebras of Lie algebras (16S30)


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Poisson PI algebras ⋮ The argument shift method and the Gaudin model ⋮ Shift of argument algebras and de Concini–Procesi spaces ⋮ Degeneration of Bethe subalgebras in the Yangian of \(\mathfrak {gl}_n\) ⋮ Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras ⋮ Spectra of Bethe subalgebras of \(Y(\mathfrak{gl}_n)\) in tame representations



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