3 papers
math.CO2024
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…
math.RT2022
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…
math.RT2022
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…