Abstract
An adjoint variety X (g) associated to a complex simple Lie algebra g is by definition a projective variety in ℙ*(g) obtained as the projectivization of the (unique) non-zero, minimal nilpotent orbit in g. We first describe the tangent loci of X (g) in terms of s-fraktur sign and l-fraktur sign2-triples. Secondly for a graded decomposition of contact type g = ⊕-2≤i≤2gi, we show that the intersection of X (g) and the linear subspace ℙ*(g1) in ℙ*(g) coincides with the cubic Veronese variety associated to g.
Original language | English |
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Pages (from-to) | 63-72 |
Number of pages | 10 |
Journal | Nagoya Mathematical Journal |
Volume | 158 |
DOIs | |
Publication status | Published - 2000 Jun |
ASJC Scopus subject areas
- Mathematics(all)