We introduce admissible positive systems and Hermitian real forms of affine twisted KacâMoody Lie algebras, and show that a real form has admissible positive system if and only if it is Hermitian. We use the Vogan diagrams to classify the Hermitian real forms, and show that their symmetric spaces carry complex structures. The affine non-twisted KacâMoody Lie algebras have been treated in an earlier work, and this article deals with the twisted cases.
Admissible positive systems of affine Kacâ Moody Lie algebras: The twisted cases / Chuah, Meng-Kiat; Fioresi, Rita. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 469:(2017), pp. 390-401. [10.1016/j.jalgebra.2016.08.034]
Admissible positive systems of affine KacâMoody Lie algebras: The twisted cases
CHUAH, MENG KIATMembro del Collaboration Group
;Fioresi, Rita
Membro del Collaboration Group
2017
Abstract
We introduce admissible positive systems and Hermitian real forms of affine twisted KacâMoody Lie algebras, and show that a real form has admissible positive system if and only if it is Hermitian. We use the Vogan diagrams to classify the Hermitian real forms, and show that their symmetric spaces carry complex structures. The affine non-twisted KacâMoody Lie algebras have been treated in an earlier work, and this article deals with the twisted cases.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
