Principal Bundles and the Dixmier Douady Class


A systematic consideration of the problem of the reduction and “lifting” of the structure group of a principal bundle is made and a variety of techniques in each case are explored and related to one another. We apply these to the study of the Dixmier-Douady class in various contexts including string structures, bundles and other examples motivated by considerations from quantum field theory.

This is a preview of subscription content, log in to check access.

Author information



Additional information

Received: 26 February 1997 / Accepted: 5 August 1997

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Carey, A., Crowley, D. & Murray, M. Principal Bundles and the Dixmier Douady Class . Comm Math Phys 193, 171–196 (1998).

Download citation


  • Principal Bundle
  • Dixmier Douady Class
  • Douady Class