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

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...

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Bibliographic Details
Published inJournal of pure and applied algebra Vol. 224; no. 7; p. 106278
Main Authors Chuah, Meng-Kiat, Fioresi, Rita
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.07.2020
Subjects
Admissible positive root systems
Affine Kac-Moody Lie superalgebras
Cartan automorphisms
Equal rank real forms
Hermitian real forms
Vogan diagrams
17B22
17B67
Cartan automorphisms
Admissible positive root systems
Hermitian real forms
Vogan diagrams
Affine Kac-Moody Lie superalgebras
Equal rank real forms
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Summary: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.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2019.106278