3 papers
math.RT2026
Multiplicity One for Unitary Ginzburg--Rallis Models over Local Fields
Yuxuan Ge, Sagnik Mukherjee, Junyi Zhai
We prove multiplicity at most one for the unitary similitude Ginzburg--Rallis model over local fields of characteristic zero, for both the quasi-split and non-quasi-split groups. T…
math.RT2026
Multiplicity One for Five Strongly Tempered Spherical Varieties
Yuxuan Ge
Let be a non-Archimedean local field of characteristic zero. We prove multiplicity one for every irreducible smooth admissible representation in the split forms of Wan-Zhang Mo…
math.RT2026
Multiplicity One and van Dijk's Conjecture for Connected Complex Symmetric Spaces
Yuxuan Ge
We prove regularity for symmetric pairs of connected complex reductive groups by combining invariant theory with the analysis of Schwartz distributions. For the classical residual…