关于Galois对的杰出平方可积表示与Prasad的一个猜想
表示论
2018-10-17 v2 数论
摘要
我们证明了一个积分公式，用于计算p-adic域上相对于Galois对的平方可积表示的重数，并应用该公式验证了Dipendra Prasad猜想的两条推论。一条涉及Steinberg表示重数的精确计算，另一条涉及重数在内形式之间通过转移的不变性。
引用
@article{arxiv.1707.06495,
title = {On distinguished square-integrable representations for Galois pairs and a conjecture of Prasad},
author = {Raphaël Beuzart-Plessis},
journal= {arXiv preprint arXiv:1707.06495},
year = {2018}
}
备注
Includes corrections following the referee suggestions. Some proofs have been streamlined and a paragraph on `tempered pairs' (previously called strongly discrete pairs) has been added