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The Computer Calculation of Graded Contractions of Lie Algebras and their Representations

D. Bérubé
M. de Montigny
Journal / Anthology

Computer Physics Communications
Year: 1993
Volume: 76
Page range: 389-410

We present a computer program to generate and solve the defining equations for grading preserving contractions of Lie algebras of any type, and their representations. The algorithm applies to any grading semi-group which is finite and Abelian. It can perform contractions of Lie algebras and/or representations for which the grading is either generic or not.

*Mathematics > Algebra > Group Theory