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Sbornik: Mathematics, 2021, Volume 212, Issue 9, Pages 1193–1207
DOI: https://doi.org/10.1070/SM9501 (Mi sm9501) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Complete sets of polynomials in bi-involution on nilpotent seven-dimensional Lie algebras

K. S. Vorushilov

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
English version PDF (430 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM9501
Abstract: In this paper, we construct complete sets of polynomials in bi-involution on nilpotent Lie algebras of dimension 7 in the list due to Gong. Thus we verify the generalized Mishchenko-Fomenko conjecture for all algebras in this list.
Bibliography: 14 titles.
Keywords: Lie algebras, integrable Hamiltonian systems, complete commutative sets of polynomials, argument shift method.
Funding agency Grant number
Russian Foundation for Basic Research 19-31-90151
This research was funded by the Russian Foundation for Basic Research (grant no. 19-31-90151).
Received: 01.09.2020 and 15.02.2021
Bibliographic databases:
Document Type: Article
UDC: 514.745.8
MSC: Primary 30C65, 30L10, 58C06; Secondary 31C12, 31C15, 31B15, 30D45
Language: English
Original paper language: Russian
Citation: K. S. Vorushilov, “Complete sets of polynomials in bi-involution on nilpotent seven-dimensional Lie algebras”, Sb. Math., 212:9 (2021), 1193–1207
Citation in format AMSBIB
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\pages 1193--1207
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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