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1 results

  • The General Structure of G-Graded Contractions of Lie Algebras I. The Classification

  • Evelyn Weimar-Woods
  • Journal:
    Canadian Journal of Mathematics / Volume 58 / Issue 6 / 01 December 2006
    Published online by Cambridge University Press:
    20 November 2018, pp. 1291-1340
    Print publication:
    01 December 2006
    • Article
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  • We give the general structure of complex (resp., real) $G$-graded contractions of Lie algebras where $G$ is an arbitrary finite Abelian group. For this purpose, we introduce a number of concepts, such as pseudobasis, higher-order identities, and sign invariants. We characterize the equivalence classes of $G$-graded contractions by showing that our set of invariants (support, higher-order identities, and sign invariants) is complete, which yields a classification.