Bounds on the order of generation of SO(n,R) by one-parameter subgroups

DOI10.1216/rmjm/1181072975zbMath0728.22009OpenAlexW2060967429MaRDI QIDQ804720

Fátima Silva Leite

Publication date: 1991

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072975

zbMATH Keywords

generatorsLie algebragroup of isometriesCartan decompositioncompact Lie groupcompact Riemannian symmetric space

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Lie algebras of Lie groups (22E60) Compact groups (22C05) General properties and structure of real Lie groups (22E15)

Related Items (6)

Uniform controllable sets of left-invariant vector fields on compact Lie groups ⋮ On the universality and membership problems for quantum gates ⋮ Holomorphic Lie group actions on Danielewski surfaces ⋮ Optimal evaluation of generalized Euler angles with applications to control ⋮ Controllability of invariant systems on Lie groups and homogeneous spaces. ⋮ Uniform finite generation of compact Lie groups.

Cites Work

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• Control systems on semi-simple Lie groups and their homogeneous spaces
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• On the uniform finite generation of \(\mathrm{SO}(n,\mathbb R)\)
• Uniform finite generation of the affine group
• Uniform finite generation of the rotation group
• Control systems on Lie groups
• Uniform Finite Generation of Threedimensional Linear Lie Groups
• On Controllability by Means of Two Vector Fields
• Uniform Finite Generation of the Isometry Groups of Euclidean and Non-Euclidean Geometry
• Uniform Finite Generation of SU(2) and SL(2, R)
• Rotations about nonorthogonal axes.
• On Everywhere Dense Imbedding of Free Groups in Lie Groups
• Controllability of nonlinear systems

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