An invariant theory approach for the unramified computation of Rankin-Selberg integrals for quasi-split SO2n x GL(n)

作者：Kaplan Eyal^*

来源：Journal of Number Theory, 2010, 130(8): 1801-1817.

DOI：10.1016/j.jnt.2010.02.004

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

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.

• 出版日期2010-8