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

Eyal Kaplan

doi:10.1016/j.jnt.2010.02.004

An invariant theory approach for the unramified computation of Rankin-Selberg integrals for quasi-split SO_2n×GL_n

Eyal Kaplan

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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 language	English
Pages (from-to)	1801-1817
Number of pages	17
Journal	Journal of Number Theory
Volume	130
Issue number	8
DOIs	https://doi.org/10.1016/j.jnt.2010.02.004
State	Published - Aug 2010
Externally published	Yes

Keywords

Littlewood-Richardson rule
Rankin-Selberg integral
Unramified computation

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10.1016/j.jnt.2010.02.004

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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.",

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AB - 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.

KW - Littlewood-Richardson rule

KW - Rankin-Selberg integral

KW - Unramified computation

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An invariant theory approach for the unramified computation of Rankin-Selberg integrals for quasi-split SO_2n×GL_n

Abstract

Keywords

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