English

General Frame Structures On Quantum Principal Bundles

q-alg 2008-02-03 v1 Quantum Algebra

Abstract

A noncommutative-geometric generalization of the classical formalism of frame bundles is developed, incorporating into the theory of quantum principal bundles the concept of the Levi-Civita connection. The construction of a natural differential calculus on quantum principal frame bundles is presented, including the construction of the associated differential calculus on the structure group. General torsion operators are defined and analyzed. Illustrative examples are presented.

Keywords

Cite

@article{arxiv.q-alg/9605007,
  title  = {General Frame Structures On Quantum Principal Bundles},
  author = {Mico Durdevic},
  journal= {arXiv preprint arXiv:q-alg/9605007},
  year   = {2008}
}

Comments

16 pages, AMS-LaTeX, extended version