This article surveys development on finite dimensional Hecke algebras in the last decade. In the first part, we explain results on canonical basic sets by Geck and Jacon and propose a categorification framework which is suitable for our example of Hecke algebras. In the second part, we review basics of Kashiwara crystal and explain the Fock space theory of cyclotomic Hecke algebras and its appl...

Numerical modeling of electromagnetic nondestructive testing problems has become in the last few years common enough to be considered an integral part of the engineering design practice. In particular, eddy current modeling activity has been on the increase because of the benefits afforded by such models and their relative simplicity and availability. This is certainly true for two dimensional ...

the article introduces cyclic dilation groups and finite affine groups for prime integers, and  as an application of this theory it presents a unified group theoretical approach for the  cyclic wavelet transform (cwt) of prime dimensional periodic signals.

We make a formal study of the diierential equation u rr + 2 r u r + u + u 5+" = 0; u r (0) = u(1) = 0; u > 0 if 0 6 r < 1 (1) when posed as a variational problem over a nite dimensional subset S h of H 1 0 comprising piecewise linear functions deened on a mesh of size h. We determine critical points U h 2 S h of the variational form of (1). Such functions are perturbations of u when a solution ...

We study the violation of the fluctuation-dissipation theorem in the three and four dimensional Gaussian Ising spin glasses using on and off equilibrium simulations. We have characterized numerically the function X(C) that determine the violation and we have studied its scaling properties. Moreover we have computed the function x(C) which characterize the breaking of the replica symmetry direct...

We discuss a possible characterization, bymeans of forbidden configurations, of posets which are embeddable in a product of finitely many scattered chains. © 2013 Elsevier Ltd. All rights reserved. 0. Introduction and presentation of the results A fundamental result, due to Szpilrajn [33], states that every order on a set is the intersection of a family of linear orders on this set. The dimensi...

We discuss the nite dimensional structure theory of L p ; in particular, the theory of restricted invertibility and classiication of subspaces of`n p .