The 2F-modules for nearly simple groups

Nearly Rational Frobenius Groups

In this paper, we study the structure of nite Frobenius groups whose non-rational or non-real irreducible characters are linear.

The Cohomology of Small Irreducible Modules for Simple Algebraic Groups

LetG be a quasisimple, connected, and simply connected algebraic group defined and split over the field k of characteristic p > 0. In this paper, we are interested in small modules for G; for us, small modules are those with dimension ≤ p. By results of Jantzen [Jan96] one knows that anyGmodule V with dimV ≤ p is semisimple. (We always understand aG-module V to be given by a morphism of algebra...

Simple Construction of a Frame which is $epsilon$-nearly Parseval and $epsilon$-nearly Unit Norm

In this paper, we will provide a simple method for starting with a given finite frame for an $n$-dimensional Hilbert space $mathcal{H}_n$ with nonzero elements and producing a frame which is $epsilon$-nearly Parseval and $epsilon$-nearly unit norm. Also, the concept of the $epsilon$-nearly equal frame operators for two given frames is presented. Moreover, we characterize all bounded invertible ...

Simple Modules for GRACE

The language Grace is being proposed for specifying and programming in a graph-centered environment based on graph transformation. Emphasis in the design of Grace is laid on modular structur-ing of programs. In this paper we present a simple kind of modules for the language which encapsulate rules and graph transformation units, and export some of them. The local transformation units deene comp...

On Extensions of Simple Modules over Symmetric and Algebraic Groups