Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 1, Pages 26–30 (Mi vmumm651)  
This article is cited in 6 scientific papers (total in 6 papers)

Mathematics

Kronecker indices of the Lie algebra and an estimate for the degrees of invariants

A. S. Vorontsov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (343 kB) Citations (6)
Abstract: The notion of Kronecker indices of a Lie algebra as integers naturally connected to its structure tensor is introduced. A lower bound for the degrees of polynomial invariants of the coadjoint action in terms of Kronecker indices is proved.
Key words: Lie algebra, coadjoint representation, invariants, bi-Hamiltonian geometry.
Received: 16.06.2010
English version:
Moscow University Mathematics Bulletin, 2011, Volume 66, Issue 1, Pages 25–29
DOI: https://doi.org/10.3103/S0027132211010050
Bibliographic databases:
Document Type: Article
UDC: 514.7
Language: Russian
Citation: A. S. Vorontsov, “Kronecker indices of the Lie algebra and an estimate for the degrees of invariants”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 1, 26–30; Moscow University Mathematics Bulletin, 66:1 (2011), 25–29
Citation in format AMSBIB
\Bibitem{Vor11}
\by A.~S.~Vorontsov
\paper Kronecker indices of the Lie algebra and an estimate for the degrees of invariants
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 1
\pages 26--30
\mathnet{http://mi.mathnet.ru/vmumm651}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2848766}
\zmath{https://zbmath.org/?q=an:1304.17007}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2011
\vol 66
\issue 1
\pages 25--29
\crossref{https://doi.org/10.3103/S0027132211010050}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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