10 citations · 24 across the 12 of their papers we have counts for
13 papers
A Classification of Self-Maps of Generalized Grassmannians
Haibao Duan, Ruizhi Huang, Xuezhi Zhao
Generalized Grassmannians form a fundamental class of flag manifolds associated with Lie groups. The purpose of this paper is to classify self-maps of generalized Grassmannians of…
Schubert calculus and Intersection theory of Flag manifolds
Haibao Duan, Xuezhi Zhao
Hilbert's 15th problem called for a rigorous foundation of Schubert's calculus, in which a long standing and challenging part is Schubert's problem of characteristics. In the cours…
Estimate of number of simplices of triangulations of Lie groups
Haibao Duan, Wacław Marzantowicz, Xuezhi Zhao
We present estimates of number of simplices of given dimension of classical compact Lie groups. As in the previous work \cite{GMP2} the approach is a combination of an estimate of…
On Schubert's Problem of Characteristics
Haibao Duan, Xuezhi Zhao
The Schubert varieties on a flag manifold G/P give rise to a cell decomposition on G/P whose Kronecker duals, known as the Schubert classes on G/P, form an additive base of the int…
The rational cohomology Hopf algebra of a generic Kac-Moody group
Xu-an Zhao, Hongzhu Gao
In this paper we determine the rational homotopy type of the classifying space of a generic Kac-Moody group by computing its rational cohomology ring. As an application we determin…
General affine differential geometry of surfaces in affine space , I: the elliptical case
Xu-an Zhao, Hongzhu Gao
In this paper we study the general affine differential geometry of surfaces in affine space . For a regular elliptical surface we define a moving frame of minimal order and ge…