16 citations · 45 across the 12 of their papers we have counts for
12 papers
A Recursive Relation for Bipartition Numbers
Yen-Chi Roger Lin, Shu-Yen Pan
We establish a recursive relation for the bipartition number which might be regarded as an analogue of Euler's recursive relation for the partition number . Two proo…
Finite Theta Correspondence of Almost Characters
Shu-Yen Pan
The theory of almost characters which is closely related to character sheaves is proposed by Lusztig to study the representation theory of finite reductive groups. In this article…
Generalized Preservation Principle in Finite Theta Correspondence
Shu-Yen Pan
It is known that irreducible cuspidal characters satisfy the preservation principle in the Howe correspondences of finite reductive dual pairs. In this article, we generalize the p…
On the Unicity and the Ambiguity of Lusztig Parametrizations for Finite Classical Groups
Shu-Yen Pan
The Lusztig correspondence is a bijective mapping between the Lusztig series indexed by the conjugacy class of a semisimple element in the connected component of the…
Degree Differences in the Eta Correspondences
Shu-Yen Pan
A sub-relation of the -correspondence called the \emph{-correspondence} is defined by Gurevich-Howe for a finite reductive dual pair in stable range. In this paper we propose…
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…
Lusztig Correspondence and Howe Correspondence for Finite Reductive Dual Pairs
Shu-Yen Pan
Let be a reductive dual pair of a symplectic group and an orthogonal group over a finite field of odd characteristic. The Howe correspondence establishes a correspondence…
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…
Symmetry and Hamiltonian structure of the scaling equation in isotropic turbulence
Zheng Ran, Shuqin Pan
The assumption of similarity and self-preservation, which permits an analytical determination of the energy decay in isotropic turbulence, has played an important role in the devel…