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arXiv · 2404.08953

Local control on quaternionic Heisenberg group of dimension $7$

Jan Eisner·Lenka Zalabová
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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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Jan Eisner, Lenka Zalabová. 2024-04-13. Local control on quaternionic Heisenberg group of dimension $7$. https://arxiv.org/abs/2404.08953

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