经典群的互作用算子残数

Steven Spallone; Freydoon Shahidi

经典群的互作用算子残数

表示论 2007-12-11 v1 数论

作者: Steven Spallone , Freydoon Shahidi

摘要

Let $\tilde{G}$ be a symplectic or even orthogonal group over a p-adic field $F$ , and $M$ the Levi factor of a maximal parabolic subgroup of $\tilde{G}$ . Suppose that $M$ has the shape of three blocks of the same size. Let $\pi$ be a supercuspidal representation of $M$ . In this paper we give a simple explicit expression for the residue of the standard intertwining operator for the parabolic induction of $\pi$ from $M$ to $G$ .

关键词

互作用算子经典群抛物诱导残数超紧化表示

引用

@article{arxiv.0712.1511,
  title  = {Residues of Intertwining Operators for Classical Groups with an Appendix "$L$-Functions and Poles of Intertwining Operators"},
  author = {Steven Spallone and Freydoon Shahidi},
  journal= {arXiv preprint arXiv:0712.1511},
  year   = {2007}
}

备注

Main paper by Steven Spallone, appendix by Freydoon Shahidi

经典群的互作用算子残数

摘要

关键词

引用

备注

相关论文