Basudev Pattanayak

activity

20192025

most citedPrincipal series component of Gelfand-Graev representation

4 citations · 4 across the 7 of their papers we have counts for

collaborators

7 papers

math.RT2025

Quotient branching laws and unitary Gan-Gross-Prasad relevance for general linear groups

Basudev Pattanayak

This article addresses the quotient branching problem for the pair $(GL_{n + 1} (F), GL_{n} (F))$ over a non-archimedean local field $F$ . We present two primary contrib…

math.RT2025

Algorithms for parabolic inductions and Jacquet modules in $GL_{n}$

Kei Yuen Chan, Basudev Pattanayak

In this article, we present algorithms for computing parabolic inductions and Jacquet modules for the general linear group $G$ over a non-Archimedean local field. Given the Zelevin…

math.RT2025

Classification of $GL_{n} (C)$ -Representations Distinguished by $GL_{n} (R)$

Basudev Pattanayak, Kaidi Wu, Hongfeng Zhang

This paper provides a complete classification of $GL_{n} (R)$ -distinguished irreducible representations of $GL_{n} (C)$ when the representations are e…

math.RT2023

Smooth representations and Hecke algebras of $p$ -adic $GL_{n} (D)$

Amiya Kumar Mondal, Basudev Pattanayak

The main question we are going to address in this paper is: How much does the representation theory of the $p$ -adic group $GL_{n} (D)$ depend on the $p$ -adic divisi…

math.NT2023

Toric periods for a $p$ -adic quaternion algebra

U. K. Anandavardhanan, Basudev Pattanayak

Let $G$ be a compact group with two given subgroups $H$ and $K$ . Let $π$ be an irreducible representation of $G$ such that its space of $H$ -invariant vectors as well as the space o…

math.RT2020★ 4 cited

Principal series component of Gelfand-Graev representation

Manish Mishra, Basudev Pattanayak

Let $G$ be a connected reductive group defined over a non-archimedean local field $F$ . Let $B$ be a minimal $F$ -parabolic subgroup with Levi factor $T$ and unipotent radical $U$ . L…

math.RT2019

A note on depth preservation

Manish Mishra, Basudev Pattanayak

We show that for a wildly ramified torus, depth is not preserved in general under local Langlands correspondence for tori.

Quotient branching laws and unitary Gan-Gross-Prasad relevance for general linear groups

Algorithms for parabolic inductions and Jacquet modules in GLn​

Classification of GLn​(C)-Representations Distinguished by GLn​(R)

Smooth representations and Hecke algebras of p-adic GLn​(D)

Toric periods for a p-adic quaternion algebra

Principal series component of Gelfand-Graev representation

A note on depth preservation

Algorithms for parabolic inductions and Jacquet modules in $GL_{n}$

Classification of $GL_{n} (C)$ -Representations Distinguished by $GL_{n} (R)$

Smooth representations and Hecke algebras of $p$ -adic $GL_{n} (D)$

Toric periods for a $p$ -adic quaternion algebra