14 citations · 46 across the 13 of their papers we have counts for
14 papers
Quaternionic Speh representations
Yuanqing Cai
For a central division algebra , we study a family of representations of (both locally and globally), which can be viewed as analogues of the Speh representa…
The generalized doubling method: models
Yuanqing Cai, Solomon Friedberg, Dmitry Gourevitch +1
One of the key ingredients in the recent construction of the generalized doubling method is a new class of models, called models, for local components of generalized Speh r…
Twisted doubling integrals for Brylinski-Deligne extensions of classical groups
Yuanqing Cai
We explain how to develop the twisted doubling integrals for Brylinski-Deligne extensions of connected classical groups. This gives a family of global integrals which represent Eul…
Twisted doubling integrals for classical groups
Yuanqing Cai
We describe the twisted doubling integrals of Cai-Friedberg-Ginzburg-Kaplan in a conceptual way. This also extends the construction to the quaternionic unitary groups. We carry out…
Unramified Whittaker functions for certain Brylinski-Deligne covering groups
Yuanqing Cai
For a Brylinski-Deligne covering group of a general linear group, we calculate some values of unramified Whittaker functions for certain representations that are analogous to the t…
On the crystal graph description of the stable Weyl group multiple Dirichlet series
Yuanqing Cai
For a semisimple Lie algebra admitting a good enumeration, we prove a parametrization for the elements in its Weyl group. As an application, we give a coordinate-free comparison be…