中文

Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions

量子代数 2007-05-23 v1 微分几何

摘要

We extend projectively equivariant quantization and symbol calculus to symbols of pseudo-differential operators. An explicit expression in terms of hypergeometric functions with noncommutative arguments is given. Some examples are worked out, one of them yielding a quantum length element on S3S^3.

关键词

引用

@article{arxiv.math/0103096,
  title  = {Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions},
  author = {C. Duval and V. Ovsienko},
  journal= {arXiv preprint arXiv:math/0103096},
  year   = {2007}
}

备注

9 pages, LaTeX