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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
English version PDF (171 kB) Citations (9)
References:
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DOI: https://doi.org/10.1070/SM2003v194n07ABEH000757
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
Russian version:
Matematicheskii Sbornik, 2003, Volume 194, Number 7, Pages 155–160
DOI: https://doi.org/10.4213/sm757
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”, Mat. Sb., 194:7 (2003), 155–160; Sb. Math., 194:7 (2003), 1105–1111
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:6
    References:53
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