Nilpotent lie algebras of maximal rank and of Kac-Moody type D-4((3))

摘要

Let g be the Kac-Moody algebra associated with the twisted affine Cartan matrix D-4((3)). Each nilpotent Lie algebra of maximal rank and of type D-4((3)) is isomorphic to a quotient of the positive part of g. We determine the isomorphism classes of nilpotent Lie algebras of maximal rank and of type D-4((3)).