Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
A Note on the Affine Subspaces of Three-Dimensional Lie Algebras
Authors: Rory Biggs, Claudiu C. Remsing
Keywords: A±ne subspace, Lie algebra, the Bianchi-Behr classification, left-invariant control system, detached feedback equivalence.
– 0.18 Mb
Keywords: A±ne subspace, Lie algebra, the Bianchi-Behr classification, left-invariant control system, detached feedback equivalence.
Abstract
A classification of full-rank a±ne subspaces of (real) three-dimensional Lie algebras is presented. In the context of invariant control a±ne systems, this is exactly a classification of all full-rank systems evolving on three-dimensional Lie groups.Dept. of Mathematics (Pure and Applied)
Rhodes University, PO Box 94
6140 Grahamstown, South Africa
E-mail: ,
Rhodes University, PO Box 94
6140 Grahamstown, South Africa
E-mail: ,
Fulltext
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Contents
- Boundedness for Vector-Valued Multilinear Singular Integral Operator on Lp Spaces with Variable Exponent
- On Frattini subloops and normalizers of commutative Moufang loop
- On a Method for Estimation of Risk Premiums Loaded by a Fraction of the Variance of the Risk
- Properties of covers in the lattice of group topologies for nilpotent groups
- A Note on the Affine Subspaces of Three-Dimensional Lie Algebras
- Solving the games generated by the informational extended strategies of the players
- Stability analysis of Pareto optimal portfolio of multicriteria investment maximin problem in the Hölder metric
- Invariant transformations of loop transversals. 2. The case of isotopy
