Uniform finite generation of the rotation group

DOI10.1216/RMJ-1971-1-4-575zbMath0227.22011MaRDI QIDQ2549376

Franklin Lowenthal

Publication date: 1971

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

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 ⋮ Parameter differentiation and quantum state decomposition for time varying Schrödinger equations ⋮ Optimal evaluation of generalized Euler angles with applications to control ⋮ Algebraic synthesis of time-optimal unitaries in \(\mathrm{SU}(2)\) with alternating controls ⋮ Generation of quantum logic operations from physical Hamiltonians ⋮ On the uniform finite generation of \(\mathrm{SO}(n,\mathbb R)\) ⋮ Bounds on the order of generation of SO(n,R) by one-parameter subgroups ⋮ Uniform finite generation of compact Lie groups.

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