We classify the small irreducible representations of Sp 2n (q) with q even in odd characteristic. This improves even the known results for complex representations. The smallest representation for this group is much larger than in the case when q is odd. This makes the problem much more difficult.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Cross characteristic representation
- Finite symplectic group
- Low dimensional representation
- Weil representation