On Differential Structures on Quantum Principal Bundles
q-alg
2008-02-03 v1 量子代数
摘要
A constructive approach to differential calculus on quantum principal bundles is presented. The calculus on the bundle is built in an intrinsic manner, starting from given graded (differential) *-algebras representing horizontal forms on the bundle and differential forms on the base manifold, together with a family of antiderivations acting on horizontal forms, playing the role of covariant derivatives of regular connections. In this conceptual framework, a natural differential calculus on the structure quantum group is described.
引用
@article{arxiv.q-alg/9412004,
title = {On Differential Structures on Quantum Principal Bundles},
author = {Mico Durdevic},
journal= {arXiv preprint arXiv:q-alg/9412004},
year = {2008}
}
备注
15 pages (AMS-LaTeX)