A note on flat noncommutative connections
Banach Center Publications (2012)
- Volume: 98, Issue: 1, page 43-53
- ISSN: 0137-6934
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topTomasz Brzeziński. "A note on flat noncommutative connections." Banach Center Publications 98.1 (2012): 43-53. <http://eudml.org/doc/286678>.
@article{TomaszBrzeziński2012,
abstract = {It is proven that every flat connection or covariant derivative ∇ on a left A-module M (with respect to the universal differential calculus) induces a right A-module structure on M so that ∇ is a bimodule connection on M or M is a flat differentiable bimodule. Similarly a flat hom-connection on a right A-module M induces a compatible left A-action.},
author = {Tomasz Brzeziński},
journal = {Banach Center Publications},
keywords = {flat connection; symmetric monoidal category; bimodule connection; -connection},
language = {eng},
number = {1},
pages = {43-53},
title = {A note on flat noncommutative connections},
url = {http://eudml.org/doc/286678},
volume = {98},
year = {2012},
}
TY - JOUR
AU - Tomasz Brzeziński
TI - A note on flat noncommutative connections
JO - Banach Center Publications
PY - 2012
VL - 98
IS - 1
SP - 43
EP - 53
AB - It is proven that every flat connection or covariant derivative ∇ on a left A-module M (with respect to the universal differential calculus) induces a right A-module structure on M so that ∇ is a bimodule connection on M or M is a flat differentiable bimodule. Similarly a flat hom-connection on a right A-module M induces a compatible left A-action.
LA - eng
KW - flat connection; symmetric monoidal category; bimodule connection; -connection
UR - http://eudml.org/doc/286678
ER -
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