Zhe Chen

collaborators

3 papers

math.RT2025

Class numbers and invariant characters of $sl_{2} (F_{p})$

Zhe Chen, Yongqi Feng

Let $p$ be a prime and let $S_{2} (I^ (p))$ be the space of weight $2$ cusp forms for the principal congruence subgroup $I^ (p)$ . Then $SL_{2} (F_{p})$ acts on $S_{2} (I^ (p))$ …

math.RT2024

A remark on decomposing the canonical representation of the Drinfeld curve

Zhe Chen, Yushan Pan

Recently, by studying an explicit basis, KÃ¶ck and Laurent give the decomposition of the $F_{q} [SL_{2} (F_{q})]$ -module of holomorphic forms on the D…

math.RT2024

Hopf algebra and the duality operation for $gl_{n} (F_{q})$

Zhe Chen

In this paper we study the space $C (gl_{n} (F_{q}))$ of complex invariant functions on $gl_{n} (F_{q})$ , through a Hopf algebra viewpoint. First, we c…

Class numbers and invariant characters of sl2​(Fp​)

A remark on decomposing the canonical representation of the Drinfeld curve

Hopf algebra and the duality operation for gln​(Fq​)

Class numbers and invariant characters of $sl_{2} (F_{p})$

Hopf algebra and the duality operation for $gl_{n} (F_{q})$