The evaluation of irreducible polynomial representations of the general linear groups and of the unitary groups over fields of characteristic 0

We describe an efficient method for the computer evaluation of the ordinary irreducible polynomial representations of general linear groups using an integral form of the ordinary irreducible representations of symmetric groups. In order to do this, we first give an algebraic explanation of D. E. Littlewood's modification of I. Schur's construction. Then we derive a formula for the entries of the representing matrices which is much more concise and adapted to the effective use of computer calculations. Finally, we describe how one obtains — using this time an orthogonal form of the ordinary irreducible representations of symmetric groups — a version which yields a unitary representation when it is restricted to the unitary subgroup. In this way we adapt D. B. Hunter's results which heavily rely on Littlewood's methods, and boson polynomials come into the play so that we also meet the needs of applications to physics.     

Study of effect of epoxynovolac oligomer on rheokinetics of curing of epoxyamine composition

The effect of epoxynovolac resin on hardening process in ED-22 epoxide oligomer is studied using the method of rotational viscometry.     

Über eine anschauliche Darstellung der Vorgänge bei der Fortpflanzung von unstetigen Signalen in Wellenleitern

Summary The electromagnetic radiation in a wave guide due to an electric dipol may be considered as consisting of the incident primary radiation and the waves generated by successive reflections from the walls of the pipe. This picture was applied to study the propagation of a cut-off periodic wave, first generally for any section of the wave guide and then more in detail for a rectangular section. The field consists in any given moment after the beginning of the dipol radiation of a finite number of such waves, the fronts of which are generally electromagnetic wave surfaces. In the foremost wave front and the points just behind it the electromagnetic field is given by the primary radiation. But very soon the field subsides in the forerunner till the arrival of the first main wave.     

Pfropfung und Vernetzung mittels Azogruppen enthaltender Copolymerer. 6. Mitt.

Ohne Zusammenfassung