Search Results - "Patel, Shiv Prakash"
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1
Multiplicity formula for restriction of representations of \widetilde{GL_{2}}(F) to \widetilde{SL_{2}}(F)
Published in Proceedings of the American Mathematical Society (01-02-2016)Get full text
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Gelfand criterion and multiplicity one results for $$\mathrm {GL}_n$$ over finite chain rings
Published in Indian journal of pure and applied mathematics (01-09-2021)Get full text
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Branching laws for the metaplectic cover of GL2
Published in Pacific journal of mathematics (14-09-2017)Get full text
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A Question on Splitting of Metaplectic Covers
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…”
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Gelfand criterion and multiplicity one results for GLn over finite chain rings
Published in Indian journal of pure and applied mathematics (2021)“…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…”
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Restriction of representations of metaplectic GL2(F) to tori
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…”
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A theorem of Mœglin and Waldspurger for covering groups
Published in Pacific journal of mathematics (01-01-2015)Get full text
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8
Multiplicity formula for restriction of representations of to / GL 2 ˜ ( F )
Published in Proceedings of the American Mathematical Society (01-02-2016)“…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…”
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9
On degenerate Whittaker space for $GL_4(\mathfrak{o}_2)
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…”
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10
A multiplicity one theorem for groups of type $A_n$ over discrete valuation rings
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 $p.$…”
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Restriction of representations of metaplectic $GL_{2}(F)$ to tori
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…”
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12
Branching laws for the metaplectic cover of ${\rm GL}_{2}
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…”
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13
Branching laws on the metaplectic cover of ${\rm GL}_{2}
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…”
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14
A question on splitting of metaplectic covers
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…”
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15
A theorem of M{\oe}glin-Waldspurger for covering groups
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…”
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16
Multiplicity formula for restriction of representations of $\widetilde{{\rm GL}}_{2}(E)$ to $\widetilde{{\rm SL}}_{2}(E)
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…”
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