Quasi-admissible,raisable nilpotent orbits,and theta representations Fan Gao,Baiying Liu&Wan-Yu Tsai Abstract We study the quasi-admissibility and raisability of some nilpotent orbits of a covering group.In partic...Quasi-admissible,raisable nilpotent orbits,and theta representations Fan Gao,Baiying Liu&Wan-Yu Tsai Abstract We study the quasi-admissibility and raisability of some nilpotent orbits of a covering group.In particular,we determine the degree of the cover such that a given split nilpotent orbit is quasi-admissible and non-raisable.The speculated wavefront sets of theta representations are also computed explicitly and are shown to be quasi-admissible and non-raisable.Lastly,we determine the leading coefficients in the Harish-Chandra character expansion of the theta representations of covers of the general linear groups.展开更多
文摘Quasi-admissible,raisable nilpotent orbits,and theta representations Fan Gao,Baiying Liu&Wan-Yu Tsai Abstract We study the quasi-admissibility and raisability of some nilpotent orbits of a covering group.In particular,we determine the degree of the cover such that a given split nilpotent orbit is quasi-admissible and non-raisable.The speculated wavefront sets of theta representations are also computed explicitly and are shown to be quasi-admissible and non-raisable.Lastly,we determine the leading coefficients in the Harish-Chandra character expansion of the theta representations of covers of the general linear groups.
