Abstract.
This paper classifies the Lie algebras graded by doubly-laced finite root systems and applies this classification to identify the intersection matrix algebras arising from multiply affinized Cartan matrices of types B,C,F, and G. This completes the determination of the Lie algebras graded by finite root systems initiated by Berman and Moody who studied the simply-laced finite root systems of rank ≧2.
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Oblatum 1-XI-1994 & 22-I-1996
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Benkart, G., Zelmanov, E. Lie algebras graded by finite root systems and intersection matrix algebras. Invent math 126, 1–45 (1996). https://doi.org/10.1007/s002220050087
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DOI: https://doi.org/10.1007/s002220050087