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

JOURNAL OF NUMBER THEORY

卷:130

Article

Kaplan, Eyal

关键词: Rankin-Selberg integral;    Unramified computation;    Littlewood-Richardson rule;   

DOI  :  10.1016/j.jnt.2010.02.004

来源: Elsevier

【 摘 要 】

We compute the local integral, with unramified data, derived from the global Rankin-Selberg integral for SO2n x GL(n), where SO2n is a quasi-split orthogonal group in 2n variables over a number field. Our unramified computation is achieved by a new approach that uses Schur polynomials and a branching rule. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free