Exceptional collections on isotropic Grassmannians
Alexander Kuznetsov, Alexander Polishchuk (2016)
Journal of the European Mathematical Society
Similarity:
We introduce a new construction of exceptional objects in the derived category of coherent sheaves on a compact homogeneous space of a semisimple algebraic group and show that it produces exceptional collections of the length equal to the rank of the Grothendieck group on homogeneous spaces of all classical groups.