Classification of real simple Lie superalgebras of classical type
- 1 April 1980
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 21 (4) , 689-697
- https://doi.org/10.1063/1.524487
Abstract
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.Keywords
This publication has 2 references indexed in Scilit:
- Hermitian Lie algebras and metaplectic representations. ITransactions of the American Mathematical Society, 1978
- Classification of all simple graded Lie algebras whose Lie algebra is reductive. IJournal of Mathematical Physics, 1976