Nilpotent Lie algebras of Maximal Rank and of Kac-Moody Type $D_4^{(3)}$

D. Fernández-Ternero

Abstract: 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 $D_4^{(3)}$.

Keywords: Nilpotent, maximal rank, Kac-Moody algebras

Classification (MSC2000): 17B30, 17B67

Full text of the article: (for faster download, first choose a mirror)

• Compressed PostScript file (104 kilobytes)
• PDF file (232 kilobytes)