Quantization of Gamma-Lie bialgebras

Details Quantization of Gamma-Lie bialgebras Quantization of Gamma-Lie bialgebras

2006-07-31

arxiv.org/abs/math/0607817v2

J. Algebra 319 (2008), no. 9, 3752--3769

Mathematics

Quantum Algebra

15 pages

Scientific paper

We introduce the notion of Gamma-Lie bialgebra, where Gamma is a group. These objects give rise to cocommutative co-Poisson algebras, for which we construct quantization functors. This enlarges the class of co-Poisson algebras for which a quantization is known. Our result relies on our earlier work, where we showed that twists of Lie bialgebras can be quantized; we complement this work by studying the behavior of this quantization under compositions of twists.

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