Search Results - "Patel, Shiv Prakash"

  • Showing 1 - 16 results of 16
Refine Results
  1. 1
  2. 2
  3. 3
  4. 4

    A Question on Splitting of Metaplectic Covers by Patel, Shiv Prakash

    Published in Communications in algebra (01-12-2016)
    “…Let F be a non-Archimedian local field. Splitting of twofold metaplectic cover of Sp 2n (F) restricted to various subgroups of Sp 2n (F) is important in…”
    Get full text
    Journal Article
  5. 5

    Gelfand criterion and multiplicity one results for GLn over finite chain rings by Patel, Shiv Prakash, Singla, Pooja

    “…We study the Whittaker space of GL n ( O / ( ϖ ℓ ) ) where ℓ ≥ 1 , O is the ring of integers of a non-Archimedean local field and ϖ is a uniformizer of O . By…”
    Get full text
    Journal Article
  6. 6

    Restriction of representations of metaplectic GL2(F) to tori by Patel, Shiv Prakash, Prasad, Dipendra

    Published in Israel journal of mathematics (01-04-2018)
    “…Let F be a non-archimedean local field. We study the restriction of irreducible admissible genuine representations of the twofold metaplectic cover G L ˜ 2 of…”
    Get full text
    Journal Article
  7. 7
  8. 8

    Multiplicity formula for restriction of representations of to / GL 2 ˜ ( F ) by Patel, Shiv Prakash, Prasad, Dipendra

    “…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 ˜ ( F…”
    Get full text
    Journal Article
  9. 9

    On degenerate Whittaker space for $GL_4(\mathfrak{o}_2) by Parashar, Ankita, Patel, Shiv Prakash

    Published 30-07-2024
    “…Let $\mathfrak{o}_2$ be a finite principal ideal local ring of length 2. For a representation $\pi$ of $GL_{4}(\mathfrak{o}_2)$, the degenerate Whittaker space…”
    Get full text
    Journal Article
  10. 10

    A multiplicity one theorem for groups of type $A_n$ over discrete valuation rings by Patel, Shiv Prakash, Singla, Pooja

    Published 23-09-2018
    “…Let $\mathfrak{o}$ be the ring of integers of a non-archimedean local field with the maximal ideal $\wp$ and the finite residue field of characteristic $p.$…”
    Get full text
    Journal Article
  11. 11

    Restriction of representations of metaplectic $GL_{2}(F)$ to tori by Patel, Shiv Prakash, Prasad, Dipendra

    Published 10-01-2017
    “…Let $F$ be a non-Archimedean local field. We study the restriction of an irreducible admissible genuine representations of the two fold metaplectic cover…”
    Get full text
    Journal Article
  12. 12

    Branching laws for the metaplectic cover of ${\rm GL}_{2} by Patel, Shiv Prakash

    Published 25-03-2015
    “…Pacific J. Math. 291 (2017) 461-484 Let $F$ be a non-Archimedian local field of characteristic zero and $E/F$ a quadratic extension. The aim of the present…”
    Get full text
    Journal Article
  13. 13

    Branching laws on the metaplectic cover of ${\rm GL}_{2} by Patel, Shiv Prakash

    Published 20-06-2014
    “…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…”
    Get full text
    Journal Article
  14. 14

    A question on splitting of metaplectic covers by Patel, Shiv Prakash

    Published 16-06-2014
    “…Let $E/F$ be a quadratic extension of a non-Archimedian local field. Splitting of the 2-fold metaplectic cover of ${\rm Sp}_{2n}(F)$ when restricted to various…”
    Get full text
    Journal Article
  15. 15

    A theorem of M{\oe}glin-Waldspurger for covering groups by Patel, Shiv Prakash

    Published 19-03-2014
    “…Pacific J. Math. 273 (2015) 225-239 Let $E$ be a non-Archimedian local field of characteristic zero and residue characteristic $p$. Let ${\bf G}$ be a…”
    Get full text
    Journal Article
  16. 16

    Multiplicity formula for restriction of representations of $\widetilde{{\rm GL}}_{2}(E)$ to $\widetilde{{\rm SL}}_{2}(E) by Patel, Shiv Prakash, Prasad, Dipendra

    Published 23-05-2014
    “…In this note we prove a certain multiplicity formula regarding the restriction of an irreducible admissible genuine representation of a 2-fold cover…”
    Get full text
    Journal Article