Shiv Prakash Patel

activity

20142024

collaborators

5 papers

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.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.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…

On degenerate Whittaker space for GL4​(o2​)

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

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)

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

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

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

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