A PBW theorem for inclusions of (sheaves of) Lie algebroids

作者:Calaque Damien*
来源:Rendiconti del Seminario Matematico della Universita di Padova, 2014, 131: 23-47.
DOI:10.4171/RSMUP/131-3

摘要

Inspired by the recent work of Chen-Stienon-Xu on Atiyah, classes associated to inclusions of Lie algebroids, we give a very simple criterium (in terms of those classes) for relative Poincare-Birkhoff-Witt type results to hold. The tools we use (e.g. the first infinitesimal neighbourhood Lie algebroid) are straightforward generalizations of the ones previously developped by Caldararu, Tu and the author for Lie algebra inclusions.

  • 出版日期2014