ADMISSIBLE NILPOTENT ORBITS OF REAL AND p-ADIC SPLIT EXCEPTIONAL GROUPS
نویسنده
چکیده
We determine the admissible nilpotent coadjoint orbits of real and p-adic split exceptional groups of types G2, F4, E6 and E7. We find that all Lusztig-Spaltenstein special orbits are admissible. Moreover, there exist nonspecial admissible orbits, corresponding to “completely odd” orbits in Lusztig’s special pieces. In addition, we determine the number of, and representatives for, the non-even nilpotent p-adic rational orbits of G2, F4 and E6.
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