1 citations · 1 across the 5 of their papers we have counts for
8 papers
Genuine pro- Iwahori--Hecke algebras, Gelfand--Graev representations, and some applications
Fan Gao, Nadya Gurevich, Edmund Karasiewicz
We study the Iwahori-component of the Gelfand-Graev representation of a central cover of a split linear reductive group and utilize our results for three applications. In fact, it…
Restrictions, L-parameters, and local coefficients for genuine representations
Fan Gao, Freydoon Shahidi, Dani Szpruch
We consider the restriction and induction of representations between a covering group and its derived subgroup, both on the representation-theoretic side and the L-parameter side.…
On the wavefront sets associated with theta representations
Fan Gao, Wan-Yu Tsai
We study a conjectural formula for the maximal elements in the wavefront set associated with a theta representation of a covering group over -adic fields. In particular, it is s…
Kazhdan-Lusztig representations and Whittaker space of some genuine representations
Fan Gao
We prove a formula for the dimension of Whittaker functionals of irreducible constituents of a regular unramified genuine principal series for covering groups. The formula explicit…
Local coefficients and gamma factors for principal series of covering groups
Fan Gao, Freydoon Shahidi, Dani Szpruch
We consider an -fold Brylinski-Deligne cover of a reductive group over a -adic field. Since the space of Whittaker functionals of an irreducible genuine representation of suc…
L-groups and the Langlands program for covering groups: a historical introduction
Wee Teck Gan, Fan Gao, Martin H. Weissman
In this joint introduction to an Asterisque volume, we give a short discussion of the historical developments in the study of nonlinear covering groups, touching on their structure…