OAI/GroupTheory/PolycyclicRecognition/Algebra/NilpotentQuotientIntegration.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Integrating a nilpotent algebra quotient with a continuous section
Lee's Lie correspondence supplies the integrated homomorphism. Surjectivity, the kernel description, and compact lifts follow from the exponential charts.
- theorem
OAI.PolycyclicRecognition.exists_surjective_integration_with_sectionline 27Source documentation
A surjective Lie algebra homomorphism integrates to a surjective group homomorphism with a continuous section obtained from a linear section in logarithmic coordinates.
theorem exists_surjective_integration_with_section [SimplyConnectedSpace N] (integrate : NilpotentLieIntegrationInput (EN := EN) (N := N) (EG := EQ) (G := Q)) …Mentions: OAI.PolycyclicRecognition.NilpotentLieIntegrationInput