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-rais...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
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
基金supported by the National Key R&D Program of China(Grant No.2022YFA1005300)National Natural Science Foundation of China(Grant No.12171422)+1 种基金supported by U.S.National Science Foundation(Grant Nos.DMS-1702218 and DMS-1848058)supported by the NSTC Funds(Grant Nos.108-2115-M-033-004-MY3 and 111-2115-M-033-001-MY3).
文摘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.
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.
