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FINITELY PRESENTED LIE ALGEBRAS

 
Acknowledgements
 
Introduction
 
Construction of the Free Lie Algebra
 
Operations on Elements of the Free Lie Algebra
 
Construction of Finitely-Presented Lie Algebras







DETAILS

 
Introduction

 
Construction of the Free Lie Algebra
      FreeLieAlgebra(F, n) : Rng, RngIntElt -> AlgFPLie

 
Operations on Elements of the Free Lie Algebra
      Example AlgFPL_FreeLieAlgebra (H91E1)
      IsLeaf(m) : AlgFPLieElt -> BoolElt, AlgFPLieElt, AlgFPLieElt
      Example AlgFPL_IsLeaf (H91E2)

 
Construction of Finitely-Presented Lie Algebras
      LieAlgebra(R) : [ AlgFPLieElt ] -> AlgLie, SeqEnum, SeqEnum, UserProgram
      NilpotentQuotient(R, d) : [ AlgFPLieElt ], RngIntElt -> AlgLie, SeqEnum, SeqEnum, UserProgram
      Example AlgFPL_LieAlgebra (H91E3)
      Example AlgFPL_NilpotentQuotient (H91E4)