CLASSIFICATION OF REAL SIMPLE LIE SUPERALGEBRAS OF CLASSICAL TYPE

Parker, M.

doi:10.1063/1.524487

CLASSIFICATION OF REAL SIMPLE LIE SUPERALGEBRAS OF CLASSICAL TYPE

M. Parker
(
- Brussels U.
)

1980

9 pages

Published in:

J.Math.Phys. 21 (1980) 689-697

DOI:

10.1063/1.524487

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Abstract: (AIP)

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.

ALGEBRA: LIE
ALGEBRA: SUPERSYMMETRY
MATHEMATICAL METHODS

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