2024/11/24 by Piotr Stachura, Stachura, Piotr
Mathematics · Physics and Astronomy · #46L67 #53D17 #58H05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Quantum Mechanics and Applications #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2411.15977
openalex publication_date 2024/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.