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math.RT2009
Symmetric Subgroup Actions on Isotropic Grassmannians
Huajun Huang, Hongyu He
Let G be the group preserving a nondegenerate sesquilinear form on a vector space V, and H a symmetric subgroup of G of the type G1 x G2. We explicitly parameterize the H-orbits in…
math.GR2009
On Kostant's partial order on hyperbolic elements
Huajun Huang, Sangjib Kim
We study Kostant's partial order on the elements of a semisimple Lie group in relations with the finite dimensional representations. In particular, we prove the converse statement…