# 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 contractionsâ€¦Â Expand

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#### References

SHOWING 1-10 OF 11 REFERENCES