OAI/GroupTheory/PolycyclicRecognition/Algebra/NilpotentPolynomialRepresentation.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Nilpotence of the faithful polynomial representation

The representation is polynomial on every straight one-parameter subgroup. The actual Lie differential therefore consists of nilpotent matrices.

  1. theorem OAI.PolycyclicRecognition.polynomialMatrixLieRepresentation_nilpotent line 23
  2. theorem OAI.PolycyclicRecognition.exists_faithful_nilpotent_matrixLieRepresentation line 51