Discrete and continuous graded contractions of Lie algebras and superalgebras

@article{Montigny1991DiscreteAC,
  title={Discrete and continuous graded contractions of Lie algebras and superalgebras},
  author={M. Montigny and J. Patera},
  journal={Journal of Physics A},
  year={1991},
  volume={24},
  pages={525-547}
}
Grading preserving contractions of Lie algebras and superalgebras of any type over the complex number field are defined and studied. Such contractions fall naturally into two classes: the Wigner-Inonu-like continuous contractions and new discrete contractions. A general method is described for any Abelian grading semigroup and any Lie algebra or superalgebra admitting such a grading. All contractions preserving z2-, z3-, and z2*z2-gradings are found. Examples of these gradings and contractions… Expand
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