3 papers
math.RT2023
Affine Grassmannians for G_2
Zhihao Zhao
We study affine Grassmannians for the exceptional group of type G_2. This group can be given as automorphisms of octonion algebras (or para-octonion algebras). By using this automo…
math.DS2023
Infinitely many Brake orbits of Tonelli Hamiltonian systems on the cotangent bundle
Duanzhi Zhang, Zhihao Zhao
We prove that on the twisted cotangent bundle of a closed manifold with an exact magnetic form, a Hamiltonian system of a time-dependent Tonelli Hamiltonian function possesses infi…
math.RT2021
Affine Grassmannians for Triality Groups
Zhihao Zhao
We study affine Grassmannians for ramified triality groups. These groups are of type , so they are forms of the orthogonal or the spin groups in 8 variables. They can be g…