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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2411.15977 |
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| _version_ | 1866915032691900416 |
|---|---|
| author | Stachura, Piotr |
| author_facet | Stachura, Piotr |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15977 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A quantum space of Euclidean lines Stachura, Piotr Quantum Algebra Mathematical Physics Symplectic Geometry 58H05, 46L67, 53D17 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. |
| title | A quantum space of Euclidean lines |
| topic | Quantum Algebra Mathematical Physics Symplectic Geometry 58H05, 46L67, 53D17 |
| url | https://arxiv.org/abs/2411.15977 |