Peng Xu

activity

20122026

most citedForward and Reverse Entropy Power Inequalities in Convex Geometry

73 citations · 118 across the 17 of their papers we have counts for

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7 papers · 1 filter

math.RT2019

Mod- $p$ maximal compact inductions do not have irreducible admissible subrepresentations

Peng Xu

Let $p$ be a prime number. We show in this short note that mod- $p$ maximal compact inductions of a $p$ -adic split reductive group do not have irreducible admissible subrepresentati…

math.RT2019

On certain Iwahori--Hecke modules of $G L_{3}$ in characteristic $p$

Peng Xu

In this note, we show that the natural analogue of certain finiteness result of Barthel--Livn $e ˊ$ on $G L_{2}$ fails for $G L_{3}$ . More precisely, within the pro- $p$ -Iwaho…

math.RT2018

On the pro- $p$ -Iwahori invariants of supersingular representations of unramified $U (2, 1)$

Peng Xu

Let $G$ be the unramified unitary group $U (2, 1) (E / F)$ over a non-archimedean local field $F$ of odd residue characteristic $p$ . In this paper, for any supersingular representation…

math.RT2017

On certain Iwahori representations of unramified $U (2, 1)$ in characteristic $p$

Peng Xu

Let $F$ be a non-archimedean local field of odd residue characteristic $p$ . Let $G$ be the unramified unitary group $U (2, 1) (E / F)$ , and $K$ be a maximal compact open subgroup of $G…

math.RT2016

Irreducible $p$ -modular representations of unramified $U (2, 1)$

Ramla Abdellatif, Peng Xu

Let $E / F$ be a unramified quadratic extension of non-archimedean local fields of odd characteristic $p$ , and $G$ be the unramified unitary group $U (2, 1) (E / F)$ . For an irreducible…

math.RT2014★ 2 cited

On the Jacquet Conjecture on the Local Converse Problem for p-adic GL_n

Moshe Adrian, Baiying Liu, Shaun Stevens +1

Based on previous results of Jiang, Nien and the third author, we prove that any two minimax unitarizable supercuspidals of GL_N that have the same depth and central character admi…

math.RT2012★ 1 cited

Hecke modules and supersingular representations of U(2,1)

Karol Koziol, Peng Xu

Let F be a nonarchimedean local field of odd residual characteristic p. We classify finite-dimensional simple right modules for the pro-p-Iwahori-Hecke algebra $\mathcal{H}_C(G,I(1…

Mod-p maximal compact inductions do not have irreducible admissible subrepresentations

On certain Iwahori--Hecke modules of GL3​ in characteristic p

On the pro-p-Iwahori invariants of supersingular representations of unramified U(2,1)

On certain Iwahori representations of unramified U(2,1) in characteristic p

Irreducible p-modular representations of unramified U(2,1)

On the Jacquet Conjecture on the Local Converse Problem for p-adic GL_n

Hecke modules and supersingular representations of U(2,1)

Mod- $p$ maximal compact inductions do not have irreducible admissible subrepresentations

On certain Iwahori--Hecke modules of $G L_{3}$ in characteristic $p$

On the pro- $p$ -Iwahori invariants of supersingular representations of unramified $U (2, 1)$

On certain Iwahori representations of unramified $U (2, 1)$ in characteristic $p$

Irreducible $p$ -modular representations of unramified $U (2, 1)$