7 citations · 10 across the 3 of their papers we have counts for
5 papers
On Theta Ranks of Irreducible Characters of a Finite Classical Group
Shu-Yen Pan
In this paper, we interpret the theta rank of an irreducible character of a finite classical group in terms of the data from the Lusztig classification. Then we prove the following…
Decomposition of the Uniform Projection of the Weil Character
Shu-Yen Pan
In this paper we obtain a decomposition formula of the uniform projection of the Weil character of a finite reductive dual pair consisting of a symplectic group and an even orthogo…
On Theta and Eta Correspondences for Finite Unitary Dual Pairs
Shu-Yen Pan
It is known that the -correspondence for a finite reductive dual pair is not one-to-one in general. In this paper, we propose two maximal one-to-one sub-relations $\underlineθ,\…
On Theta and Eta Correspondences for Finite Symplectic/Orthogonal Dual Pairs
Shu-Yen Pan
In this paper, we propose two maximal one-to-one sub-relations of the Howe correspondence for a finite reductive dual pair consisting of a symplectic…
Howe Correspondence of Unipotent Characters for a Finite Symplectic/Even-orthogonal Dual Pair
Shu-Yen Pan
In this paper we give a complete description of the Howe correspondence of unipotent characters for a finite dual pair of a symplectic group and an even orthogonal group in terms o…