Geodesic
Nilpotent Lie Algebras of Maximal Rank and of Kac-Moody Type D4(3)
Journal of Lie Theory, Tome 15 (2005) no. 1, pp. 249-260

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Let $\frak g$ 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 $\frak g$. We determine the isomorphism classes of nilpotent Lie algebras of maximal rank and of type $D_4^{(3)}$.
Classification : 17B30, 17B67
Mots-clés : Nilpotent, maximal rank, Kac-Moody algebras 
D. Fernández-Ternero. Nilpotent Lie Algebras of Maximal Rank and of Kac-Moody Type D4(3). Journal of Lie Theory, Tome 15 (2005) no. 1, pp. 249-260. http://geodesic.mathdoc.fr/item/JOLT_2005_15_1_a16/
@article{JOLT_2005_15_1_a16,
     author = {D. Fern\'andez-Ternero},
     title = {Nilpotent {Lie} {Algebras} of {Maximal} {Rank} and of {Kac-Moody} {Type} {D\protect\textsubscript{4}\protect\textsuperscript{(3)}}},
     journal = {Journal of Lie Theory},
     pages = {249--260},
     year = {2005},
     volume = {15},
     number = {1},
     zbl = {1086.17006},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2005_15_1_a16/}
}
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