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A theory for the construction of the irreducible representations of finite groups

✍ Scribed by Esko Blokker

Publisher
John Wiley and Sons
Year
1972
Tongue
English
Weight
361 KB
Volume
6
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

It is shown how the irreducible representations of a finite group can be calculated from the irreducible characters (the latter can be calculated exactly by using Dixon's method). All elements of the matrix, representing a group element, lie in the rational field of polynomials of ΞΎ = exp (2Ο€__i__/e), where e is the exponent of the group.

πŸ“œ SIMILAR VOLUMES

A theory for the construction of the irr
A theory for the construction of the irreducible representations of finite groups. II
✍ Esko Blokker πŸ“‚ Article πŸ“… 1973 πŸ› John Wiley and Sons 🌐 English βš– 363 KB

## Abstract The restriction on a method for computing irreducible representations of finite groups, requiring that in the irreducible representation to be constructed, at least one group element has at least one nondegenerate eigenvalue, is removed. The method is thus shown to be applicable to an a