Generalized principal bundles include all Lie group fiber bundles via new coordinate transformation laws, with connections characterized by horizontal lifts that reduce to standard principal connections in usual cases.
Hochschild: The automorphism group of a Lie group,Trans
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A constructive approach to generalized principal connections
Generalized principal bundles include all Lie group fiber bundles via new coordinate transformation laws, with connections characterized by horizontal lifts that reduce to standard principal connections in usual cases.