Article ID Journal Published Year Pages File Type
6414352 Journal of Algebra 2016 17 Pages PDF
Abstract

We introduce admissible positive systems and Hermitian real forms of affine non-twisted Kac-Moody 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.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
, ,