Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.02820 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916824539463680 |
|---|---|
| author | Dippell, Marvin Esposito, Chiara Schnitzer, Jonas |
| author_facet | Dippell, Marvin Esposito, Chiara Schnitzer, Jonas |
| contents | We present a classification of homogeneous star products on duals of Lie algebroids in terms of the second Lie algebroid cohomology. Moreover, we extend this classification to projectable star products, i.e., to quantizations compatible with (coisotropic) reduction. This implies that quantization commutes with reduction in the considered setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02820 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification and Reduction of Homogeneous Star Products Dippell, Marvin Esposito, Chiara Schnitzer, Jonas Quantum Algebra Mathematical Physics Differential Geometry 53D55, 53D17, 53D20 We present a classification of homogeneous star products on duals of Lie algebroids in terms of the second Lie algebroid cohomology. Moreover, we extend this classification to projectable star products, i.e., to quantizations compatible with (coisotropic) reduction. This implies that quantization commutes with reduction in the considered setting. |
| title | Classification and Reduction of Homogeneous Star Products |
| topic | Quantum Algebra Mathematical Physics Differential Geometry 53D55, 53D17, 53D20 |
| url | https://arxiv.org/abs/2507.02820 |