Xue‐Yi Ma

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math.NT2026

The principal series 2-representation for $GL_{n} \times GL_{n}$ over a 2-dimensional local field

Xuecai Ma, Jingwen Zhu

Let $F = F_{q} ((u)) ((t))$ and $H = GL_{n} (F)_{L} \times GL_{n} (F)_{R}$ . An ordered tuple $α = (α_{1}, \dots, α_{n})$ defines a cross- $K_{2}$ multiplier on the doubled Borel. Twi…

math.NT2026

Hecke algebra of $GL_{n}$ over a 2-dimensional local field

Xuecai Ma

Using the $R ((X))$ -measure, we define and study certain $C ((X))$ -valued functions on $GL_{n} (F)$ for $F$ a two-dimensional local field. In particular, we d…

The principal series 2-representation for GLn​×GLn​ over a 2-dimensional local field

Hecke algebra of GLn​ over a 2-dimensional local field

The principal series 2-representation for $GL_{n} \times GL_{n}$ over a 2-dimensional local field

Hecke algebra of $GL_{n}$ over a 2-dimensional local field