Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 5, Pages 21–26 (Mi vmumm714)  
Mathematics

Complete commutative sets of polynomials for solvable Lie algebras of dimension six and nilpotent Lie algebras of dimension seven

A. A. Korotkevich

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (257 kB)
Abstract: A full commutative set of polynomials is constructed using Sadetov's method on the coalgebra of each real $6$-dimensional solvable non-nilpotent algebra and of each real $7$-dimensional nilpotent Lie algebra.
Key words: full commutative sets of polynomials, Sadetov's method, Bolsinov's construction, Milovanov's conjecture.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-3224.2010.1
2.1.1.3704
2.1.1/6827
Russian Foundation for Basic Research 10-01-00748-а
Federal Agency for Education П268
943
Received: 18.06.2010
Bibliographic databases:
Document Type: Article
UDC: 514.745.82
Language: Russian
Citation: A. A. Korotkevich, “Complete commutative sets of polynomials for solvable Lie algebras of dimension six and nilpotent Lie algebras of dimension seven”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 5, 21–26
Citation in format AMSBIB
\Bibitem{Kor11}
\by A.~A.~Korotkevich
\paper Complete commutative sets of polynomials for solvable Lie algebras of dimension six and nilpotent Lie algebras of dimension seven
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 5
\pages 21--26
\mathnet{http://mi.mathnet.ru/vmumm714}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2964353}
\zmath{https://zbmath.org/?q=an:1304.17008}
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