Equal rank real forms of affine non-twisted Kac-Moody Lie superalgebras

摘要

We study the equal rank real forms of affine non-twisted Kac-Moody Lie superalgebras by Cartan automorphisms and Vogan diagrams. We introduce admissible positive root systems and Hermitian real forms, then show that a real form has admissible positive root system if and only if it is Hermitian. As a result, we use the Vogan diagrams to classify the Hermitian real forms. (C) 2019 Elsevier B.V. All rights reserved.