Abstract

A Vogan diagram is a Dynkin diagram of a Kac–Moody Lie algebra of finite or afine type overlayed with additional structures. This paper develops the theory of Vogan diagrams for “almost compact” real forms of indecomposable twisted afine Kac–Moody Lie algebras and shows that equivalence classes of Vogan diagrams correspond to isomorphism classes of almost compact real forms of twisted afine Kac–Moody Lie algebras as given by H. Ben Messaoud and G. Rousseau.

Keywords

almost compact real forms, Vogan diagram, twisted affine Kac–Moody algebra

Mathematical Subject Classification

Primary: 17B67

Authors