THE SCHUR INDICES OF THE CUSPIDAL UNIPOTENT CHARACTERS OF THE FINITE CHEVALLEY GROUPS E7(q)
نویسنده
چکیده
We show that the two cuspidal unipotent characters of a finite Chevalley group E7(q) have Schur index 2, provided that q is an even power of a (sufficiently large) prime number p such that p ≡ 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.
منابع مشابه
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