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

Meng-Kiat ChuahRita Fioresi
Journal of Pure and Applied Algebra, 106278
2019

摘要

Admissible positive root systems Affine Kac-Moody Lie superalgebras Cartan automorphisms Equal rank real forms Hermitian real forms Vogan diagrams Algebra and Number Theory
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.

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