OAI/GroupTheory/PolycyclicRecognition/Algebra/AlternatingBarEvaluation.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Evaluation of explicit alternating cycles

An alternating multilinear map evaluates the signed bar cycle to its value multiplied by the factorial of the degree.

  1. theorem OAI.PolycyclicRecognition.abelianMultilinearChains_alternating line 17
  2. def OAI.PolycyclicRecognition.alternatingBarCycle line 37
  3. theorem OAI.PolycyclicRecognition.alternatingBarCycle_val line 44
  4. def OAI.PolycyclicRecognition.alternatingBarClass line 51
  5. theorem OAI.PolycyclicRecognition.abelianMultilinearHomology_alternating line 55