Quantization of coboundary Lie bialgebras
B. Enriquez, G. Halbout
Abstract
We show that any coboundary Lie bialgebra can be quantized. For this, we prove that: (a) Etingof-Kazhdan quantization functors are compatible with Lie bialgebra twists, and (b) if such a quantization functor corresponds to an even associator, then it is also compatible with the operation of taking coopposites. We also use the relation between the Etingof-Kazhdan construction of quantization functors and the alternative approach to this problem, which was established in a previous work.
Create a lesson
Related papers
The Haagerup VOA at c=8
Andrew Riesen
Haar measure for totally positive split real semisimple quantum groups of classical type
Kenny De Commer, Geoffrey Janssens, Wannes Malfait
Facets of nondegeneracy: central type factor groups, Heisenberg representations and Hadamard matrices
Pierre Bieliavsky, Victor Gayral, Sergey Neshveyev et al.
Triangular prism equations for near-group categories: algebraic solutions and a unitary conjecture
Huixuan He, Zhengwei Liu, Fan Lu et al.
Chiral Extensions of Cotangent Yangian
Keyou Zeng
Higher Fomin-Kirillov algebras are infinite-dimensional
N. Andruskiewitsch, I. Angiono, I. Heckenberger et al.