Santosh Nadimpalli

activity

20142026

most citedTypical representations for level zero Bernstein components of

GL_{n} (F)

5 citations · 13 across the 17 of their papers we have counts for

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14 papers · 1 filter

math.RT2026

Uniqueness of Branching through regular unipotent elements

Santosh Nadimpalli, Santosha Pattanayak

Let $\mathrm G$ be a complex simple algebraic group and let $\mathrm G_0\subset \mathrm G$ be a closed connected subgroup containing a regular unipotent element of \(\mathrm G\…

math.RT2025

A note on finiteness of Tate cohomology groups

Sabyasachi Dhar, Santosh Nadimpalli

Let $G$ be a reductive algebraic group defined over a non-Archimedean local field $F$ of residue characteristic $p$ . Let $σ$ be an automorphism of $G$ of order $ℓ$ -- a prime nu…

math.RT2025

Jacquet modules of Tate cohomology and base change lifting

Sabyasachi Dhar, Santosh Nadimpalli

Let $G$ be a connected reductive group defined over a non-Archimedean local field $F$ of residue characteristic $p$ . Let $ℓ$ be a prime number distinct from $p$ . Let $E$ be a cy…

math.RT2025

Character theory at a torsion element

Santosh Nadimpalli, Santosha Pattanayak, Dipendra Prasad

The paper relates character value of an irreducible representation of a compact connected Lie group at certain elements of finite order with the dimension of a representation on an…

math.RT2023

Twisted Jacquet modules: a conjecture of D. Prasad

Santosh Nadimpalli, Mihir Sheth

In this note, we study the twisted Jacquet modules of sub-quotients of principal series representations of $GL_{2} (D)$ where $D$ is a division algebra over a non-archimedean lo…

math.RT2023★ 1 cited

On the integrality of locally algebraic representations of $GL_{2} (D)$

Santosh Nadimpalli, Mihir Sheth

Emerton's theory of Jacquet modules for locally analytic representations provides necessary conditions for the existence of integral structures in locally analytic representations.…

math.RT2022

Quotients of commuting schemes associated to Symmetric Pairs

Santosh Nadimpalli, Santosha Pattanayak

Let $g = g_{0} \oplus g_{1}$ be a $Z_{2}$ -grading of a classical Lie algebra such that $(g, g_{0})$ is a classical symmetric pai…

math.RT2022★ 3 cited

A note on branching of $V (ρ)$

Santosh Nadimpalli, Santosha Pattanayak

Let $g$ be a complex simple Lie algebra and let $g_{0}$ be the sub-algebra fixed by a diagram automorphism of $g$ . Let $G$ be the complex, simply-con…

math.RT2019★ 5 cited

Typical representations for level zero Bernstein components of $GL_{n} (F)$

Santosh Nadimpalli

Let $F$ be a non-discrete non-Archimedean locally compact field. In this article for a level zero Bernstein component $s$ , we classify those irreducible smooth representations of $…

math.RT2019

Generic cuspidal representations of $U (2, 1)$

Santosh Nadimpalli

Let $F$ be any non-Archimedean local field with a Galois involution $σ$ and $F_{0}$ be the fixed field for the action of $σ$ . When the residue characteristic of $F_{0}$ is odd, using t…

math.RT2018

On typical representations for depth-zero components of split classical groups

Amiya Kumar Mondal, Santosh Nadimpalli

Let $G$ be a split classical group over a non-Archimedean local field $F$ with the cardinality of the residue field $q_{F} > 5$ . Let $M$ be the group of $F$ -points of a Levi fact…

math.RT2017★ 1 cited

On extensions of characters of affine pro- $p$ Iwahori--Hecke algebra

Santosh Nadimpalli

Let $K$ be a non-discrete non-Archimedean local field with residue characteristic $p$ . Let $G$ be the group of $K$ rational points of a algebraic connected reductive group defined…

math.RT2016★ 1 cited

On Extensions of supersingular representations of $SL_{2} (Q_{p})$

Santosh Nadimpalli

In this note for $p > 5$ we calculate the dimensions of $Ext_{SL_{2} (Q_{p})}^{1} (τ, σ)$ for any two irreducible supersingular representations $τ$ and $σ$ of ${\rm SL}_…

math.RT2014★ 2 cited

On classification of typical representations for $GL_{3} (F)$

Santosh Nadimpalli

Let $F$ be any non-Archimedean local field with residue field of cardinality $q_{F}$ . In this article, we obtain a classification of typical representations for the Bernstein compone…

Uniqueness of Branching through regular unipotent elements

A note on finiteness of Tate cohomology groups

Jacquet modules of Tate cohomology and base change lifting

Character theory at a torsion element

Twisted Jacquet modules: a conjecture of D. Prasad

On the integrality of locally algebraic representations of GL2​(D)

Quotients of commuting schemes associated to Symmetric Pairs

A note on branching of V(ρ)

Typical representations for level zero Bernstein components of GLn​(F)

Generic cuspidal representations of U(2,1)

On typical representations for depth-zero components of split classical groups

On extensions of characters of affine pro-p Iwahori--Hecke algebra

On Extensions of supersingular representations of SL2​(Qp​)

On classification of typical representations for GL3​(F)

On the integrality of locally algebraic representations of $GL_{2} (D)$

A note on branching of $V (ρ)$

Typical representations for level zero Bernstein components of $GL_{n} (F)$

Generic cuspidal representations of $U (2, 1)$

On extensions of characters of affine pro- $p$ Iwahori--Hecke algebra

On Extensions of supersingular representations of $SL_{2} (Q_{p})$

On classification of typical representations for $GL_{3} (F)$