Nai-Heng Sheu

activity

20192026

most citedClass numbers of CM algebraic tori, CM abelian varieties and components of unitary Shimura varieties

2 citations · 2 across the 3 of their papers we have counts for

collaborators

4 papers

math.RT2026

Asymptotics for number of indecomposable components of tensor powers of the natural $SL_{2}$ -module in odd characteristic

Aranya Lahiri, Nai-Heng Sheu

Let $K$ be an algebraically closed field of odd characteristic $p$ , let $G = SL_{2} (K)$ , and let $V$ be the natural representation of $G$ . Let $b_{k}$ denote the number of $G$ -ind…

math.RT2025

Fractal behavior of tensor powers of tilting modules of $SL_{2}$

Nai-Heng Sheu

Given a group $G$ and $V$ a representation of $G$ , denote the number of indecomposable summands of $V^{\otimes k}$ by $b_{k}^{G, V}$ . Given a tilting representation $T$ of $\text{SL}…

math.RT2025

Asymptotic Growth of Trivial Summands in Tensor Powers

Nai-Heng Sheu

Given a finite-dimensional representation $V$ over an algebraically closed field of an abstract group $G$ , we consider the number of the trivial summand counted with multiplicity i…

math.NT2019★ 2 cited

Class numbers of CM algebraic tori, CM abelian varieties and components of unitary Shimura varieties

Jia-Wei Guo, Nai-Heng Sheu, Chia-Fu Yu

We give a formula for the class number of an arbitrary CM algebraic torus over $Q$ . This is proved based on results of Ono and Shyr. As applications, we give formulas for…

Asymptotics for number of indecomposable components of tensor powers of the natural SL2​-module in odd characteristic

Fractal behavior of tensor powers of tilting modules of SL2​

Asymptotic Growth of Trivial Summands in Tensor Powers

Class numbers of CM algebraic tori, CM abelian varieties and components of unitary Shimura varieties

Asymptotics for number of indecomposable components of tensor powers of the natural $SL_{2}$ -module in odd characteristic

Fractal behavior of tensor powers of tilting modules of $SL_{2}$