Odd symplectic flag manifolds
By Ion Mihai. 2006
48 citations recorded by the source corpus.
We define the odd symplectic Grassmannians and flag manifolds, which are smooth projective varieties equipped with an action of the odd symplectic group, analogous to the usual symplectic Grassmannians and flag manifolds. Contrary to the latter, which are the flag manifolds of the symplectic group, the varieties we introduce are not homogeneous. We argue nevertheless that in many respects the odd symplectic Grassmannians and flag manifolds behave like homogeneous varieties; in support of this claim, we compute the automorphism group of the odd symplectic Grassmannians and we prove a Borel-Weil-type theorem for the odd symplectic group.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/7c7fb0272a5adf019ec37346988a0af6627b8b47
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- On some smooth projective two-orbit varieties with Picard number 1 (2008, background): “Remark also that odd symplectic grassmannians have been studied in detail by Mihai in [ 13 ].”