Abstract
We describe a new method of quantization of Lie bialgebras, based on a construction of Hopf algebras out of a cocommutative coalgebra and a braided comonoidal functor.
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Drinfeld, V.: On quasitriangular quasi-Hopf algebras and on a group that is closely connected with \({\rm Gal}(\bar{{\mathbb{Q}}}/{{\mathbb{Q}}})\). Algebra i Analiz 2(4), 149–181 (1990)
Enriquez, B.: A cohomological construction of quantization functors of Lie bialgebras. Adv. Math. 197(2), 430–479 (2005)
Enriquez, B., Halbout, G.: Quantization of coboundary Lie bialgebras. Ann. Math. 171(2), 1267–1345 (2010)
Etingof, P., Kazhdan, D.: Quantization of Lie bialgebras. I. Selecta Math. 2(1), 1–41 (1996)
Etingof, P., Kazhdan, D.: Quantization of Lie bialgebras. II. Selecta Math. 4(2), 213–231 (1998)
Li-Bland, D., Ševera, P.: On deformation quantization of Poisson-Lie groups and moduli spaces of flat connections. Int Math Res Notices 2015(15), 6734–6751 (2015)
Mac Lane, S.: Categories for the Working Mathematician. Graduate Texts in Mathematics 5 (second ed.). Springer. ISBN 0-387-98403-8
Tamarkin, D.: Quantization of Lie bialgebras via the formality of the operad of little disks. Geom. Funct. Anal. 17(2), 537–604 (2007)
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Supported in part by the grant MODFLAT of the European Research Council and the NCCR SwissMAP of the Swiss National Science Foundation.
