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Letters in Mathematical Physics

, Volume 18, Issue 4, pp 307–313 | Cite as

The graded Lie algebra structure of Lie superalgebra deformation theory

  • Hédi Ben Amor
  • Georges Pinczon
Article

Abstract

We show how Lie superalgebra deformation theory can be treated by graded Lie algebras formalism. Rigidity and integrability theorems are obtained.

AMS subject classification (1980)

17B70 

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References

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    Arnal, D., Simultaneous deformations of a Lie algebra and its modules, in M.Cahen et al. (eds) Differential Geometry and Mathematical Physics. D. Reidel, Dordrecht, 1983, p. 3.Google Scholar
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    Binegar, B., Cohomology and deformations of Lie superalgebras, Lett. Math. Phys. 12, 301 (1986).Google Scholar
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    Gerstenhaber, M., On the deformations of rings and algebras, Ann. Math. 79, 59 (1964).Google Scholar
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    Leites, D. A., Cohomologies of Lie superalgebras, Transl. Funktsional. Anal. i Prilozhen 9 No. 4, 75 (1975).Google Scholar
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    Nijenhuis, A. and Richardson, R. W., Cohomology and deformations in graded Lie algebras, Bull. Amer. Soc. 7:2, 1 (1966).Google Scholar

Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • Hédi Ben Amor
    • 1
  • Georges Pinczon
    • 1
  1. 1.Physique-MathématiqueUniversité de BourgogneDijon CedexFrance

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