Article ID Journal Published Year Pages File Type
1893016 Journal of Geometry and Physics 2014 19 Pages PDF
Abstract

We construct full exceptional collections in the derived categories of coherent sheaves on the Lagrangian Grassmannians LG(4,8)LG(4,8) and LG(5,10)LG(5,10). The construction is radically different from all the previously considered homogeneous spaces in that one has to use homogeneous bundles associated with reducible representations of the parabolic subgroup.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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