activity
20142026
most citedRepresentations associated to small nilpotent orbits for complex Spin groups

1 citations · 1 across the 7 of their papers we have counts for

collaborators

9 papers

math.RT2026

Lift of the Trivial Representation: The Nonsplit Type Case

Wan-Yu Tsai

Let be a nonlinear double cover of the real points of a connected, simply connected, semisimple complex group. In previous work, we introduced $\prod_{ρ/2}^s(\wideti…

math.RT2026

Unitary Shimura Correspondence for Complex Classical Groups

Wan-Yu Tsai, Kayue Daniel Wong, Hongfeng Zhang

In this paper, we construct a lifting operator from the Grothendieck group of admissible Harish-Chandra modules of (resp. $\mathrm{Sp}_{2n}(\mathbb…

math.RT2023

Quasi-admissible, raisable nilpotent orbits, and theta representations

Fan Gao, Baiying Liu, Wan-Yu Tsai

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 nilpoten…

math.RT2020

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…

math.RT2020

Lift of the trivial representation to a nonlinear double cover

Wan-Yu Tsai

Let be the nonlinear double cover of the real points of a connected, simply connected, semisimple complex group. In [Ts], we introduce a set of genuine small represe…

q-fin.PM2017

A Numerical Scheme for A Singular control problem: Investment-Consumption Under Proportional Transaction Costs

Arash Fahim, Wan-Yu Tsai

This paper concerns the numerical solution of a fully nonlinear parabolic double obstacle problem arising from a finite portfolio selection with proportional transaction costs. We…

math.RT2017★ 1 cited

Representations associated to small nilpotent orbits for complex Spin groups

Dan Barbasch, Wan-Yu Tsai

This paper provides a comparison between the -structure of unipotent representations and regular sections of bundles on nilpotent orbits for complex groups of type . Precisel…

math.RT2017

Representations associated to small nilpotent orbits for real Spin groups

Dan Barbasch, Wan-Yu Tsai

The results in this paper provide a comparison between the -structure of unipotent representations and regular sections of bundles on nilpotent orbits. Precisely, let $\widetild…

math.RT2014

Some Genuine Small Representations of a Nonlinear Double Cover

Wan-Yu Tsai

Let G be the real points of a simply connected, semisimple, simply laced complex Lie group, and let \tilde{G} be the nonlinear double cover of G. We discuss a set of small genuine…