Abstract
We show that the two cuspidal unipotent characters of a finite Chevalley group E-T(q) have Schur index 2, provided that q is an even power of a (sufficiently large) prime number p such that p equivalent to 1 mod 4. The proof uses a refinement of Kawanaka's generalized Gelfand-Graev representations and Some explicit Computations with the CHEVIE computer algebra system.
| Original language | English |
|---|---|
| Pages (from-to) | 201-215 |
| Number of pages | 14 |
| Journal | Osaka Journal of Mathematics |
| Volume | 42 |
| Issue number | 1 |
| Publication status | Published - 2005 |
Keywords
- IRREDUCIBLE CHARACTERS
- REPRESENTATIONS
- SUPPORT