Let k be a local field of characteristic zero.Letπbe an irreducible admissible smooth representation of GL2 n(k).We prove that for all but countably many charactersχ’s of GLn(k)×GLn(k),the space ofχ-equivaria...Let k be a local field of characteristic zero.Letπbe an irreducible admissible smooth representation of GL2 n(k).We prove that for all but countably many charactersχ’s of GLn(k)×GLn(k),the space ofχ-equivariant(continuous in the archimedean case)linear functionals onπis at most one dimensional.Using this,we prove the uniqueness of twisted Shalika models.展开更多
In this paper, we summarize the basic structures and properties of irreducible symplectic supercuspidal representations of GLn(F) over a p-adic local field F with characteristic zero, and explore possible topics for f...In this paper, we summarize the basic structures and properties of irreducible symplectic supercuspidal representations of GLn(F) over a p-adic local field F with characteristic zero, and explore possible topics for further investigation.展开更多
基金supported by National Natural Science Foundation of China(Grant No.11501478)The second author was supported by National Natural Science Foundation of China(Grant Nos.11525105,11688101,11621061 and 11531008)
文摘Let k be a local field of characteristic zero.Letπbe an irreducible admissible smooth representation of GL2 n(k).We prove that for all but countably many charactersχ’s of GLn(k)×GLn(k),the space ofχ-equivariant(continuous in the archimedean case)linear functionals onπis at most one dimensional.Using this,we prove the uniqueness of twisted Shalika models.
基金supported in part by Natural Science foundation of USA(Grant No. DMS-0653742)supported by Natural Science Foundation of Taiwan, China(Grant No. 97-2115-M-006-007)+1 种基金supported partly by the program PCSIRT (Program for Changjiang Scholars and Innovative Research Team in East China Normal University)supported in part by National Natural Science Foundation of China (Grant No. 10701034)
文摘In this paper, we summarize the basic structures and properties of irreducible symplectic supercuspidal representations of GLn(F) over a p-adic local field F with characteristic zero, and explore possible topics for further investigation.
