A quantum space of Euclidean lines
arXiv:2411.15977
Abstract
This article presents a differential groupoid with ``coaction'' of the groupoid underlying the Quantum Euclidean Group (i.e. its -algebra is the -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.
22 pages, no figures