Peng Xu

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math.RT2026

The double super Yangians in type A for arbitrary $0^{m} 1^{n}$ -sequences and their bosonic representations

Pengfa Xu, Hongda Lin, Honglian Zhang

In this paper, we introduce the double super Yangian $DY_{h} (gl_{m ∣ n}^{s})$ and $DY_{h} (sl_{m ∣ n}^{s})$ associated with…

math.RT2025

Restriction of $p$ -modular representations of $U (2, 1)$ to a Borel subgroup

Peng Xu

Let $G$ be the unramified unitary group $U (2, 1) (E / F)$ defined over a non-archimedean local field $F$ of odd residue characteristic $p$ , and $B$ be the standard Borel subgroup of $…

math.RT2024

Whittaker modules for a subalgebra of N=2 superconformal algebra

Naihuan Jing, Pengfa Xu, Honglian Zhang

In this paper, Whittaker modules are studied for a subalgebra $q_{I^} µ$ of the $N$ =2 superconformal algebra. The Whittaker modules are classified by central characte…

The double super Yangians in type A for arbitrary 0m1n-sequences and their bosonic representations

Restriction of p-modular representations of U(2,1) to a Borel subgroup

Whittaker modules for a subalgebra of N=2 superconformal algebra

The double super Yangians in type A for arbitrary $0^{m} 1^{n}$ -sequences and their bosonic representations

Restriction of $p$ -modular representations of $U (2, 1)$ to a Borel subgroup