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math.RT2004★ 4 cited
The sextonions and
J. M. Landsberg, L. Manivel
We fill in the "hole" in the exceptional series of Lie algebras that was observed by Cvitanovic, Deligne, Cohen and deMan. More precisely, we show that the intermediate Lie algebra…
math.RT2004★ 2 cited
A universal dimension formula for complex simple Lie algebras
J. M. Landsberg, L. Manivel
We present a universal formula for the dimension of the Cartan powers of the adjoint representation of a complex simple Lie algebra (i.e., a universal formula for the Hilbert funct…