arXiv subjects

Hassan Azad

Publications and source records attributed to Hassan Azad.

20 records · Page 2Linked to original sources

arXiv2012

On the conjugacy of maximal unipotent subgroups of real semisimple Lie groups

The existence of closed orbits of real algebraic groups on real algebraic varieties is established. As an application, it is shown that if G is a real reductive linear group with Iwasawa decomposition G= KAN, then every unipotent subgroup of G is conjugate to a subgroup of N.

math.GR↗

arXiv2008

Symplectic geometry of semisimple orbits

We prove that any coadjoint orbit with real eigenvalues of a complex semisimple Lie group, equipped with the real part of the canonical holomorphic symplectic form, is symplectomorphic to the cotangent bundle of a (partial) flag manifold. Moreover, we generalize this result to hyperbolic orbits in a real semisimple Lie algebra.

math.SG↗