A computer program for calculation of irreducible representations of finite groups
β Scribed by Stig Flodmark; Esko Blokker
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 379 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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 = e
Let V be a finite dimensional vector space over a field K of characteristic / 2, and b: V = V Βͺ K a non-degenerate symmetric bilinear form. Ε½ . Let : G Βͺ O b be an orthogonal representation of the finite group G. Unless mentioned otherwise, we assume throughout that is absolutely irreducible as a l
## 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