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Notes on quaternionic group representations

✍ Scribed by G. Scolarici; L. Solombrino

Publisher
Springer
Year
1995
Tongue
English
Weight
417 KB
Volume
34
Category
Article
ISSN
0020-7748

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πŸ“œ SIMILAR VOLUMES

On quaternion-free 2-groups
On quaternion-free 2-groups
✍ Bettina Wilkens πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 183 KB

Two theorems are proved, the first of them showing that a modular quaternion-free finite 2-group has a characteristic abelian subgroup with metacyclic factor, the second classifying nonmodular finite quaternion-free 2-groups.

A Note on Rationality of Representations
A Note on Rationality of Representations of Profinite Groups
✍ Hans Opolka πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 145 KB

Let G G be a profinite group. The purpose of this note is to construct subfields F of the field of complex numbers over which a given finite dimensional complex continuous linear representation D of G G is realizable in the following sense: There is a one-dimensional representation of G G such that

Quaternion representations of the O+(3)
Quaternion representations of the O+(3) group, and their applications in robotics
✍ J.F. BitΓ³; G.Y. ErΓΆss; J.K. Tar πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 602 KB

algebraic methods for solving different mathematical tasks have found widespread applications in theoretical physics and in several technical applications. Though group theory can be used to achieve the most simple and transparent formulation of different tasks, it is not very well known by engineer