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

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.

UDC: 514.745.82

Received: 18.06.2010

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