This paper defines and studies permutation representations on the equivariant cohomology of Schubert varieties, as representations both over C and over C[t1, t2, . . . , tn]. We show these group actions are the same as an action studied geometrically by M. Brion, and give topological meaning to the divided difference operators studied by Berstein-Gelfand-Gelfand, Demazure, Kostant-Kumar, and ot...

From (7) and (9) it is clear that the only essential information contained in Ei is the set of values i\u and the index rt. Note further that in (8), the successive Ei are used with increasing I and it follows from (9) that it is necessary to know ri before using the r¡n. On the other hand, in (6), the E¡ are used in decreasing sequence of / but from (7) it is not necessary to know rt until aft...

In this paper, working over Z(p) and using algebra perturbation results from [18], p-minimal homological models of twisted tensor products (TTPs) of Cartan’s elementary complexes are obtained. Moreover, making use of the notion of indecomposability of a TTP, we deduce that a homological model of a indecomposable p-minimal TTP of length ` (` ≥ 2) of exterior and divided power algebras is a tenso...

Abstract This work considers the method of corrugated sheet arrangement near column wall with aim to limit liquid fall on and increase concentration in near-wall area. Experiments were carried out at Koch 1Y packing sheets for various flow rates. report presents experimental results character edge effect middle shift from packing. The ribs this are directed downward Test was performed two posit...

Abstract Dividing-wall columns(DWC) are intensified distillation systems for multicomponent separations. They have the potential to save both energy and capital costs significantly than conventional simple column configurations. The several DWC columns for ternary distillations have been figured out by some creative activities from different inventors. Recently they have gained the momentum to ...

the aim of this investigation was to evaluate the use of polypropylene mesh and glycerol preserved bovine pericardium (gbp) to repaire abdominal wall defects in 24 clinically healthy mongrel dogs using inlay and underlay techniques. twenty four healthy mongrel dogs were used in this study. the animals were divided into two main groups according to the type of the prosthetic material used. each ...

This study was aimed to assess the adsorption and leaching potential of imidacloprid pesticide in column and field soil. To understand mechanism of adsorption and factors affecting, the experiments were carried out under laboratory and field conditions. Adsorption study was divided into kinetic and equilibrium sections. The evaluation of kinetic data was done through pseudo first and second ord...