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Safronov, Pavel (2021). A categorical approach to quantum moment maps. Theory and Applications of Categories, 37(24):818-862.
We introduce quantum versions of Manin pairs and Manin triples and define quantum moment maps in this context. This provides a framework that incorporates quantum moment maps for actions of Lie algebras and quantum groups for any quantum parameter. We also show how our quantum moment maps degenerate to known classical versions of moment maps and describe their fusion.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 340 Law
610 Medicine & health 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Mathematics (miscellaneous) |
| Language: | English |
| Date: | 2021 |
| Deposited On: | 12 Jan 2022 08:43 |
| Last Modified: | 26 Dec 2024 02:40 |
| Publisher: | Mount Allison University |
| ISSN: | 1201-561X |
| OA Status: | Green |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Official URL: | http://www.tac.mta.ca/tac/volumes/37/24/37-24abs.html |
Safronov, Pavel