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.

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

Fioresi R.
Membro del Collaboration Group
2020

Abstract

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.
2020
Chuah M.-K.; Fioresi R.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/726800
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