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Local control on quaternionic Heisenberg group of dimension $7$
Published 13 Apr 2024 in math.DG and math.OC | (2404.08953v1)
Abstract: We describe the quaternionic Heisenberg group in the dimension $7$ as a matrix group. We study the local control of a compatible left-invariant control system. We describe the impact of symmetries of the corresponding sub-Riemannian structure on the optimality of geodesics.
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