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Classification of real simple Lie superalgebras of classical type

par Parker, Monique
Référence Journal of mathematical physics, 21, 4, page (689-697)
Publication Publié, 1979

Article révisé par les pairs

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Résumé :

Finite-dimensional simple Lie superalgebras (also called ℤ2-graded Lie algebras) over an algebraically closed field of characteristic zero were classified in 1976. All simple Lie superalgebras over the reals, whose Lie subalgebra is reductive, are determined here up to isomorphism. As is the theory of simple Lie algebras, this is done by classifying the involutive semimorphisms of the complex Lie superalgebras. One sees in particular that the real form of the Lie subalgebra completely determines the real form of the Lie superalgebra. © 1980 American Institute of Physics.