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A categorical approach to quantum moment maps
Theory and applications of categories, Tome 37 (2021), pp. 818-862 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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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.

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Classification : 18M15
Keywords: Moment maps, Manin triples, quantum groups 
@article{TAC_2021_37_a23,
     author = {Pavel Safronov},
     title = {A categorical approach to quantum moment maps},
     journal = {Theory and applications of categories},
     pages = {818--862},
     year = {2021},
     volume = {37},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2021_37_a23/}
}
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Pavel Safronov. A categorical approach to quantum moment maps. Theory and applications of categories, Tome 37 (2021), pp. 818-862. http://geodesic.mathdoc.fr/item/TAC_2021_37_a23/