Miyu Suzuki

collaborators

4 papers

math.CO2026

Root lattices over totally real fields

Ryotaro Sakamoto, Miyu Suzuki, Hiroyoshi Tamori

A root lattice is a finite rank $Z$ -lattice generated by elements $x$ satisfying $x \cdot x = 2$ . It is well-known that the root lattices have an $A D E$ classification and the…

math.RT2026

Quaternionic symplectic model for discrete series representations

Nadir Matringe, Miyu Suzuki

Let $D$ be the quatenion division algebra over a non-Archimedean local field $F$ of characteristic zero and odd residual characterisitc. We show that an irreducible discrete series…

math.RT2026

Discrete series representations of quaternionic $GL_{n} (D)$ with symplectic periods

For a non-Archimedean locally compact field $F$ of odd residue characteristic and characteristic $0$ , we prove a conjecture of D. Prasad predicting that, for an integer $n \geq 1$ …

math.RT2025

A reformulation of the conjecture of Prasad and Takloo-Bighash

Miyu Suzuki

Prasad and Takloo-Bighash proposed a conjecture which predicts a necessary condition in terms of epsilon factors for representations of $GL_{n} (F)$ and its inner forms to ha…

Root lattices over totally real fields

Quaternionic symplectic model for discrete series representations

Discrete series representations of quaternionic GLn​(D) with symplectic periods

A reformulation of the conjecture of Prasad and Takloo-Bighash

Discrete series representations of quaternionic $GL_{n} (D)$ with symplectic periods