A Geometric Definition Of Schubert Polynomials and Dual Schubert Polynomials For Classical Lie Groups

In this paper, we first discuss the topological properties of projective Stiefel manifolds, we compute their cohomology rings and classify their cohomology endomorphisms; Then by embedding the flag manifold of a classical Lie group into its corresponding infinite dimensional projective Stiefel manifold(which is homotopic to the product of infinite dimensional complex projective space $\mathbb{C}P^{\infty}$), we define the Schubert polynomials and dual Schubert polynomials. Finally we discuss the property and the computation of these polynomials.Comment: This paper has been withdrawn by the author due to a crucial This paper have a vital error in Lemma 2.1. So the definition for Schubert polynomials are not valid for Lie groups of type B,C,

SOURCES OF BUSINESS CYCLE FLUCTUATIONS: COMPARING CHINA AND INDIA

This paper investigates the sources of business cycle fluctuations in China and India since 1978/81. Under the framework of a standard neoclassical open economy model with time-varying frictions (wedges), we study the relative importance of efficiency, labor, investment and government consumption wedges on the business cycle phenomenon. This enables us to contrast and compare the two countries’ experience in a way remarkably different from previous studies. The results for both China and India show that efficiency wedge is the main source of economic fluctuations, while the investment wedge and government consumption wedge played minor roles in generating business cycles.Business cycle fluctuations; Business cycle accounting; China; India