We have deliberately favoured constructive proofs to existence arguments. In regards to linear representations, emphasis has been placed on matrices and linear transformations rather than modules and characters. As a result, every proposition asserting the existence of a certain object can be used a
Even unimodular lattices associated with the Weil representation of the finite symplectic group
โ Scribed by R Gow
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 538 KB
- Volume
- 122
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
Given a quadratic extension L/K of fields and a regular alternating space V f of finite dimension over L, we classify K-subspaces of V which do not split into the orthogonal sum of two proper K-subspaces. This allows one to determine the orbits of the group Sp L V f in the set of K-subspaces of V .