On the uniform finite generation of \(\mathrm{SO}(n,\mathbb R)\)

DOI10.1016/0167-6911(83)90042-7zbMath0511.22004OpenAlexW2075105379MaRDI QIDQ1839045

Peter E. Crouch, Fátima Silva Leite

Publication date: 1983

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(83)90042-7

zbMATH Keywords

symmetric spacesvector fieldspermutation matricesSO(n)uniformly finitely generated

Mathematics Subject Classification ID

Compact groups (22C05) General properties and structure of real Lie groups (22E15)

Related Items (8)

Uniform controllable sets of left-invariant vector fields on compact Lie groups ⋮ Controllability on classical Lie groups ⋮ Parameter differentiation and quantum state decomposition for time varying Schrödinger equations ⋮ Optimal evaluation of generalized Euler angles with applications to control ⋮ Controllability of invariant systems on Lie groups and homogeneous spaces. ⋮ Bounds on the order of generation of SO(n,R) by one-parameter subgroups ⋮ Uniform finite generation of compact Lie groups. ⋮ Uniform controllable sets of left-invariant vector fields on noncompact Lie groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Control systems on semi-simple Lie groups and their homogeneous spaces
• Uniform finite generation of Lie groups locally-isomorphic to SL(2,R)
• Uniform finite generation of the rotation group
• Uniform Finite Generation of Threedimensional Linear Lie Groups
• On Controllability by Means of Two Vector Fields
• Uniform Finite Generation of SU(2) and SL(2, R)
• Rotations about nonorthogonal axes.
• Controllability of nonlinear systems

This page was built for publication: On the uniform finite generation of \(\mathrm{SO}(n,\mathbb R)\)