42 citations · 328 across the 67 of their papers we have counts for
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On linear spaces of skew-symmetric matrices of constant rank
Laurent Manivel, Emilia Mezzetti
We describe the space of projective planes of complex skew-symmetric matrices of order six and constant rank four. We prove that it has four connected components, all of dimension…
Legendrian varieties
J. M. Landsberg, L. Manivel
We investigate the geometry of Legendrian complex projective manifolds $X\subset\PP V$. By definition, this means is a complex vector space of dimension , endowed with a…
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…
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…