Let G be a finite symplectic or unitary group. We characterize the Weil representations of G via their restriction to a standard subgroup. Then we complete the determination of complex representations of G with specific minimal polynomials of certain elements by showing that they coincide with the W
Clifford and Mackey theory for Weil representations of symplectic groups
β Scribed by Gerald Cliff; David McNeilly; Fernando Szechtman
- Book ID
- 104140591
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 248 KB
- Volume
- 262
- Category
- Article
- ISSN
- 0021-8693
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
## 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