Quasi-admissible, raisable nilpotent orbits, and theta representations
F Gao, B Liu, WY Tsai - arXiv preprint arXiv:2307.00573, 2023 - arxiv.org
We study the quasi-admissibility and raisablility 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 …
In particular, we determine the degree of the cover such that a given split nilpotent orbit is …
On local character expansions for principal series representations of general linear groups
M Gurevich - arXiv preprint arXiv:2405.16872, 2024 - arxiv.org
We obtain two explicit formulas for the full local character expansion of any irreducible
representation of a p-adic general linear group in principal blocks. The first, generalizing …
representation of a p-adic general linear group in principal blocks. The first, generalizing …