Search results for "Real representation"

Modular representation theory and pi-algebras

1988

(1988). Modular representation theory and pi-algebras. Communications in Algebra: Vol. 16, No. 10, pp. 2043-2067.

Elements of General Representation Theory

1982

In Chapter V, classical representation theory was studied. This is the theory of the group-ring KG and the KG-modules, where K is an algebraically closed field of characteristic 0. (Many theorems remain valid under the hypothesis that K is algebraically closed and that char K does not divide the order of G). In this case, KG is semisimple and all KG-modules are completely reducible. For many purposes it is therefore sufficient to handle the irreducible representations.

A remark on conjectures in modular representation theory

1987

Character problems in classical representation theory

1987

Graphical representation of non-absorbing polarization devices

2000

A graphical representation of general non-absorbing polarization devices operating under normal plane-wave incidence is presented. The representation is based on a four-dimensional spherical parametrization of the Jones matrix of this kind of polarization devices. The graphical representation takes the form of a solid cylinder. The projection of the point representing the device over the base of the cylinder gives the corresponding polarization eigenvectors represented in the complex plane, while the height of the point in the cylinder is the phase of its eigenvalue. Some simple examples like wave-plates and rotators are discussed. The representation may represent a useful tool to identify …