Quantization of formal classical dynamical r-matrices: the reductive case

Details Quantization of formal classical dynamical r-matrices: the reductive case Quantization of formal classical dynamical r-matrices: the reductive case

2004-12-02

arxiv.org/abs/math/0412042v3

Adv. Math. 204 (2006), no. 1, 84-100

Mathematics

Quantum Algebra

13 pages, 1 section added (classification of dynamical twists), LaTeX, final version, to appear in Adv. Math

Scientific paper

10.1016/j.aim.2005.05.009

In this paper we prove the existence of a formal dynamical twist quantization for any triangular and non-modified formal classical dynamical $r$-matrix in the reductive case. The dynamical twist is constructed as the image of the dynamical $r$-matrix by a $L_\infty$-quasi-isomorphism. This quasi-isomorphism also allows us to classify formal dynamical twist quantizations up to gauge equivalence.

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