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Sbornik: Mathematics, 2003, Volume 194, Issue 7, Pages 1105–1111
DOI: https://doi.org/10.1070/SM2003v194n07ABEH000757
(Mi sm757)
 

This article is cited in 9 scientific papers (total in 9 papers)

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

A. A. Tarasov

M. V. Lomonosov Moscow State University
References:
Abstract: It is proved that each generalized Mishchenko–Fomenko subalgebra of the Poisson algebra of the Lie algebra ${{\mathfrak{gl}}_n({\mathbb C})}$ can be lifted to a unique commutative subalgebra of the enveloping algebra.
Received: 20.01.2003
Bibliographic databases:
UDC: 519.46
MSC: 17B35, 17B63
Language: English
Original paper language: Russian
Citation: A. A. Tarasov, “Uniqueness of liftings of maximal commutative subalgebras of the Poisson–Lie algebra to the enveloping algebra”, Sb. Math., 194:7 (2003), 1105–1111
Citation in format AMSBIB
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\by A.~A.~Tarasov
\paper Uniqueness of liftings of maximal commutative subalgebras of the~Poisson--Lie
algebra to the~enveloping algebra
\jour Sb. Math.
\yr 2003
\vol 194
\issue 7
\pages 1105--1111
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  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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