Exceptional collections on isotropic Grassmannians

  • Alexander Kuznetsov

    Steklov Mathematical Institute, Moscow, Russian Federation
  • Alexander Polishchuk

    University of Oregon, Eugene, United States


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.

Cite this article

Alexander Kuznetsov, Alexander Polishchuk, Exceptional collections on isotropic Grassmannians. J. Eur. Math. Soc. 18 (2016), no. 3, pp. 507–574

DOI 10.4171/JEMS/596