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

Damien Calaque

doi:10.1016/j.aim.2005.05.009

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

量子代数 2007-05-23 v3

作者: Damien Calaque

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摘要

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.

关键词

twisted k-theory

引用

@article{arxiv.math/0412042,
  title  = {Quantization of formal classical dynamical r-matrices: the reductive case},
  author = {Damien Calaque},
  journal= {arXiv preprint arXiv:math/0412042},
  year   = {2007}
}

备注

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

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

摘要

关键词

引用

备注

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