6533b871fe1ef96bd12d230e
RESEARCH PRODUCT
On the derived category of the Cayley plane II
Laurent ManivelLaurent ManivelDaniele FaenziDaniele Faenzisubject
AlgebraDerived categoryPure mathematicsGroup (mathematics)HomogeneousApplied MathematicsGeneral MathematicsCayley planeHomogeneous spaceEmbeddingEquivariant mapVector bundleMathematicsdescription
We find a full strongly exceptional collection for the Cayley plane OP2, the simplest rational homogeneous space of the exceptional group E6. This collection, closely related to the one given by the second author in [J. Algebra, 330:177-187, 2011], consists of 27 vector bundles which are homogeneous for the group E6, and is a Lefschetz collection with respect to the minimal equivariant embedding of OP2.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-11-04 | Proceedings of the American Mathematical Society |