Vogan diagrams of twisted affine Kac–Moody Lie algebras

Tanusree Pal

Vol. 239 (2009), No. 1, 65–88

DOI: 10.2140/pjm.2009.239.65

Abstract

A Vogan diagram is a Dynkin diagram of a Kac–Moody Lie algebra of finite or affine type overlayed with additional structures. This paper develops the theory of Vogan diagrams for “almost compact” real forms of indecomposable twisted affine Kac–Moody Lie algebras and shows that equivalence classes of Vogan diagrams correspond to isomorphism classes of almost compact real forms of twisted affine 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 2000

Primary: 17B67

Milestones

Received: 15 July 2008

Accepted: 4 September 2008

Published: 1 January 2009