An invariant theory approach for the unramified computation of Rankin-Selberg integrals for quasi-split SO2n×GLn

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Abstract

We compute the local integral, with unramified data, derived from the global Rankin-Selberg integral for SO2n×GLn, where SO2n is a quasi-split orthogonal group in 2. n variables over a number field. Our unramified computation is achieved by a new approach that uses Schur polynomials and a branching rule.

Original languageEnglish
Pages (from-to)1801-1817
Number of pages17
JournalJournal of Number Theory
Volume130
Issue number8
DOIs
StatePublished - Aug 2010
Externally publishedYes

Keywords

  • Littlewood-Richardson rule
  • Rankin-Selberg integral
  • Unramified computation

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