Classification of real simple Lie superalgebras and symmetric superspaces (Q797667)

The author classifies the symmetric (resp. semisymmetric) superspaces with a simple supergroup of motions, i.e., the supermanifolds \({\mathcal G}/{\mathcal G}^{\phi}\), where \({\mathcal G}\) is a simple real supergroup and \(\phi\) an automorphism of \({\mathcal G}\) which is involutive (resp. involutive on \({\mathcal G}_{\bar 0})\). Basic ingredients are the classification of all real simple Lie superalgebras (already known from the cited papers by Kac and Parker) and the classification of those automorphisms of a (real or complex) simple Lie superalgebra whose restriction to the even subalgebra is involutive. The author presents her results in a number of extensive tables. Most of the proofs are omitted.