OAI/GroupTheory/PolycyclicRecognition/Geometry/FaithfulTriangularRepresentation.lean

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A faithful real triangular representation with nilpotent nilradical

The finite enveloping representation has real split annihilators. Applying the already proved simultaneous-basis theorem therefore triangularizes it over the real field, retaining injectivity and nilpotence on the nilradical. This is the Lie-algebraic part of the Onshuus--Post realization.

  1. theorem OAI.PolycyclicRecognition.exists_faithful_triangular_nilradical_representation line 26