Journal of Lie Theory

no. 1
Lie Algebras Graded by the Root System BC1
Journal of Lie Theory, Volume 13 (2003) no. 1, pp. 91-132
We classify the Lie algebras that are graded by the nonreduced root system  BC1  and determine their central extensions, derivations, and invariant forms.
DOI: 10.5802/jolt.293
Classification: 17B70
Keywords: root system, root graded Lie algebra, Jordan-Kantor pair, structurable algebra, \(J\)-ternary algebra, central extension, derivations 
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     author = {G. Benkart and O. Smirnov},
     title = {Lie {Algebras} {Graded} by the {Root} {System} {BC\protect\textsubscript{1}}},
     journal = {Journal of Lie Theory},
     pages = {91--132},
     year = {2003},
     volume = {13},
     number = {1},
     doi = {10.5802/jolt.293},
     zbl = {1015.17028},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.293/}
}
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G. Benkart; O. Smirnov. Lie Algebras Graded by the Root System BC1. Journal of Lie Theory, Volume 13 (2003) no. 1, pp. 91-132. doi: 10.5802/jolt.293

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