Abstract
We introduce quantum versions of Manin pairs and Manin triples and de-fine 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.
Original language | English |
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Article number | 24 |
Pages (from-to) | 818-862 |
Number of pages | 45 |
Journal | Theory and Applications of Categories |
Volume | 37 |
Publication status | Published - 22 Jun 2021 |
Keywords / Materials (for Non-textual outputs)
- Manin triples
- Moment maps
- Quantum groups