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arXiv · 2411.15977

A quantum space of Euclidean lines

Piotr Stachura
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Abstract

This article presents a differential groupoid with ``coaction'' of the groupoid underlying the Quantum Euclidean Group (i.e. its $C^*$-algebra is the $C^*$-algebra of this quantum group). The dual of the Lie algebroid is a Poisson manifold that can be identified with the space of oriented lines in Euclidean space equipped with a Poisson action of the Poisson-Lie Euclidean group.

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Piotr Stachura. 2024-11-24. A quantum space of Euclidean lines. https://arxiv.org/abs/2411.15977

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