Nai-Heng Sheu

collaborators

3 papers

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

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…

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

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