Shiv Prakash Patel

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20142024

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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.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​)

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 $G L_{4} (o_{2})$

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

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