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GAP Data Library "Lie Algebras"

This library is part of the core GAP system.


Willem Adriaan de Graaf and Thomas Breuer


The data library of Lie Algebras provides generic functions to construct

  • free Lie algebras,
  • full matrix Lie algebras, and
  • simple Lie algebras of types A, B, C, D, E, F, G, H, K, S, and W,
  • as well as the irreducible modules of semisimple Lie algebras in characteristic 0.


Standard texts.

GAP Manual section

Lie Algebras