In the high rank limit, fraction of non-zero character table entries finite simple groups Lie type goes to zero.

abstract this study aims to examine the use of religion heritage and application of the prophet job’s character mask. one of the important masks that have been used by contemporary poets is the prophet’s masks, especially the job of which the story exists in the quran. this character is a symbol of patience. darvish and sayyab are the most important poets who used the mask of this character.  e...

The character of the intermolecular interactions in Cl2-HX (X =F, Cl and Br) complexes has been investigated by means of the second-order Möller–Plesset perturbation theory (MP2) and the density functional theory (DFT) calculations. The results show that there are two types of lowest interaction potential equilibrium structures in the interactions between Cl2 and HX: X∙∙∙Cl type geometry and hy...

‎let $g_{i} $ be a subgroup of $ s_{m_{i}}‎ ,‎ 1 leq i leq k$‎. ‎suppose $chi_{i}$ is an irreducible complex character of $g_{i}$‎. ‎we consider $ g_{1}times cdots times g_{k} $ as subgroup of $ s_{m} $‎, ‎where $ m=m_{1}+cdots‎ +‎m_{k} $‎. ‎in this paper‎, ‎we give a formula for the dimension of $h_{d}(g_{1}times cdots times g_{k}‎, ‎chi_{1}timescdots times chi_{k})$ and investigate the existe...

Handwritten character recognition is the important area in image processing and pattern recognition fields. This field of research is applicable to various application areas where the aim is too atomized and reduces the human efforts for form filling, job application, bank and postal automation [1-3] etc. Handwritten character recognition in Indian script [4] is a challenging task specially Dev...

The determination of the Iwahori-spherical unitary representations for split p-adic groups can be reduced to the classification of unitary representations with real infinitesimal character for associated graded Hecke algebras. We determine the unitary modules with real infinitesimal character for the graded Hecke algebra of type E6.