Aranya Lahiri

activity

20192026

collaborators

6 papers

math.RT2026

Asymptotics for number of indecomposable components of tensor powers of the natural $SL_{2}$ -module in odd characteristic

Aranya Lahiri, Nai-Heng Sheu

Let $K$ be an algebraically closed field of odd characteristic $p$ , let $G = SL_{2} (K)$ , and let $V$ be the natural representation of $G$ . Let $b_{k}$ denote the number of $G$ -ind…

math.RT2023

Dagger groups and $p$ -adic distribution algebras

Aranya Lahiri, Claus Sorensen, Matthias Strauch

Let $(G, ω)$ be a $p$ -saturated group and $K / Q_{p}$ a finite extension. In this paper we introduce the space of $K$ -valued overconvergent functions $C^{†} (G, K)$ …

math.RT2023

Presentation of an Iwasawa algebra:The pro- $p$ -Iwahori of reductive groups

Aranya Lahiri, Jishnu Ray

In this article we generalize results of Clozel and Ray (for $S L_{2}$ and $S L_{n}$ respectively) to give explicit ring-theoretic presentation in terms of a complete set of generators a…

math.RT2021

Translation functors for locally analytic representations

Akash Jena, Aranya Lahiri, Matthias Strauch

Let $G$ be a $p$ -adic Lie group with reductive Lie algebra $g$ . In analogy to the translation functors introduced by Bernstein and Gelfand on categories of $U(\mathfrak{…

math.RT2020

Resolutions of locally analytic principal series representations of $G L_{2}$

Aranya Lahiri

For a finite field extension $F / Q_{p}$ we associate a coefficient system attached on the Bruhat-Tits tree of $G := GL_{2} (F)$ to a locally analytic representation $V$ of…

math.NT2019

Rigid Analytic Vectors in Locally Analytic Representations

Aranya Lahiri

Let $H$ be a uniform pro- $p$ group. Associated to $H$ are rigid analytic affinoid groups $\bbH_n$, and their "wide open" subgroups $\bbH_n^{\circ}$. Denote by $D^\la(H)= C^\la(H)'_…

Asymptotics for number of indecomposable components of tensor powers of the natural SL2​-module in odd characteristic

Dagger groups and p-adic distribution algebras

Presentation of an Iwasawa algebra:The pro-p-Iwahori of reductive groups

Translation functors for locally analytic representations

Resolutions of locally analytic principal series representations of GL2​

Rigid Analytic Vectors in Locally Analytic Representations

Asymptotics for number of indecomposable components of tensor powers of the natural $SL_{2}$ -module in odd characteristic

Dagger groups and $p$ -adic distribution algebras

Presentation of an Iwasawa algebra:The pro- $p$ -Iwahori of reductive groups

Resolutions of locally analytic principal series representations of $G L_{2}$