On synthetic interpretation of quantum principal bundles
Quantum Algebra
2009-12-02 v1
Abstract
Quantum principal bundles or principal comodule algebras are re-interpreted as principal bundles within a framework of Synthetic Noncommutative Differential Geometry. More specifically, the notion of a noncommutative principal bundle within a braided monoidal category is introduced and it is shown that a noncommutative principal bundle in the category opposite to the category of vector spaces is the same as a faithfully flat Hopf-Galois extension.
Keywords
Cite
@article{arxiv.0912.0213,
title = {On synthetic interpretation of quantum principal bundles},
author = {Tomasz Brzeziński},
journal= {arXiv preprint arXiv:0912.0213},
year = {2009}
}
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18 pages