S. Patel

activity

20142025

most citedA theorem of Mœglin-Waldspurger for covering groups

6 citations · 8 across the 11 of their papers we have counts for

collaborators

11 papers

math.RT2025

Distinguished representations for $SL (n, F)$

Kwangho Choiy, Shiv Prakash Patel

Let $F$ be a finite field, and let $E$ be either a quadratic field extension $E / F$ or the split algebra $F \oplus F$ . We study distinguished representations of $\rm{SL}_{2…

math.RT2025

On the Degenerate Whittaker space for some induced representations of $GL_{4} (o_{2})$

Ankita Parashar, Shiv Prakash Patel

Let $o_{l}$ be a finite principal ideal local ring of length $l$ . The degenerate Whittaker space associated with a representation of $GL_{2 n} (o_{l})$ is a r…

math.RT2025

Distinguished Representations for $SL_{n} (D)$ where $D$ is a quaternion division algebra over a $p$ -adic field

Kwangho Choiy, Shiv Prakash Patel

Let $D$ be a quaternion division algebra over a non-archimedean local field $F$ of characteristic zero. Let $E / F$ be a quadratic extension and $\rm{SL}_{n}^{*}(E) = {\rm{GL}}_{n}(E…

math.RT2024

On degenerate Whittaker space for $G L_{4} (o_{2})$

Ankita Parashar, Shiv Prakash Patel

Let $o_{2}$ be a finite principal ideal local ring of length 2. For a representation $π$ of $G L_{4} (o_{2})$ , the degenerate Whittaker space $π_{N, ψ}$ is a repres…

math.RT2018★ 1 cited

A multiplicity one theorem for groups of type $A_{n}$ over discrete valuation rings

Shiv Prakash Patel, Pooja Singla

Let $o$ be the ring of integers of a non-archimedean local field with the maximal ideal $℘$ and the finite residue field of characteristic $p .$ Let $G$ be the…

math.NT2017

Restriction of representations of metaplectic $G L_{2} (F)$ to tori

Shiv Prakash Patel, Dipendra Prasad

Let $F$ be a non-Archimedean local field. We study the restriction of an irreducible admissible genuine representations of the two fold metaplectic cover $G L_{2} (F)$ of…

math.RT2015★ 1 cited

Branching laws for the metaplectic cover of $GL_{2}$

Shiv Prakash Patel

Let $F$ be a non-Archimedian local field of characteristic zero and $E / F$ a quadratic extension. The aim of the present article is to study the multiplicity of an irreducible admis…

math.RT2014

Branching laws on the metaplectic cover of $GL_{2}$

Shiv Prakash Patel

Representation theory of $p$ -adic groups naturally comes in the study of automorphic forms and one way to understand representations of a group is by restricting to its nice subgro…

math.RT2014

A question on splitting of metaplectic covers

Shiv Prakash Patel

Let $E / F$ be a quadratic extension of a non-Archimedian local field. Splitting of the 2-fold metaplectic cover of $Sp_{2 n} (F)$ when restricted to various subgroups of ${\rm S…

math.RT2014

Multiplicity formula for restriction of representations of $GL_{2} (E)$ to $SL_{2} (E)$

Shiv Prakash Patel, Dipendra Prasad

In this note we prove a certain multiplicity formula regarding the restriction of an irreducible admissible genuine representation of a 2-fold cover $GL_{2} (E)$ of…

math.RT2014★ 6 cited

A theorem of Mœglin-Waldspurger for covering groups

Shiv Prakash Patel

Let $E$ be a non-Archimedian local field of characteristic zero and residue characteristic $p$ . Let $G$ be a connected reductive group defined over $E$ and $π$ an irreducible…

Distinguished representations for SL(n,F)

On the Degenerate Whittaker space for some induced representations of GL4​(o2​)

Distinguished Representations for SLn​(D) where D is a quaternion division algebra over a p-adic field

On degenerate Whittaker space for GL4​(o2​)

A multiplicity one theorem for groups of type An​ over discrete valuation rings

Restriction of representations of metaplectic GL2​(F) to tori

Branching laws for the metaplectic cover of GL2​

Branching laws on the metaplectic cover of GL2​

A question on splitting of metaplectic covers

Multiplicity formula for restriction of representations of GL2​(E) to SL2​(E)

A theorem of Mœglin-Waldspurger for covering groups

Distinguished representations for $SL (n, F)$

On the Degenerate Whittaker space for some induced representations of $GL_{4} (o_{2})$

Distinguished Representations for $SL_{n} (D)$ where $D$ is a quaternion division algebra over a $p$ -adic field

On degenerate Whittaker space for $G L_{4} (o_{2})$

A multiplicity one theorem for groups of type $A_{n}$ over discrete valuation rings

Restriction of representations of metaplectic $G L_{2} (F)$ to tori

Branching laws for the metaplectic cover of $GL_{2}$

Branching laws on the metaplectic cover of $GL_{2}$

Multiplicity formula for restriction of representations of $GL_{2} (E)$ to $SL_{2} (E)$