OAI/GroupTheory/PolycyclicRecognition/Algebra/SemisimpleCentralDecomposition.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

The fixed and central parts of a semisimple inner centralizer

The canonical fixed projection separates the center from the fixed subgroup. The moving part of any inner-centralizing vector is genuinely central.

  1. theorem OAI.PolycyclicRecognition.ad_kernel_invariant line 17
  2. def OAI.PolycyclicRecognition.semisimpleOneProjection line 27
  3. theorem OAI.PolycyclicRecognition.semisimple_central_difference_of_ad_sub_zero line 30
  4. theorem OAI.PolycyclicRecognition.semisimple_inner_centralizer_central_difference line 44