Towards the Jacquet conjecture on the Local Converse Problem for p-adic GLn

Dihua Jiang, Chufeng Nien, Shaun Stevens

研究成果: Article同行評審

15 引文 斯高帕斯(Scopus)

摘要

The Local Converse Problem is to determine how the family of the local gamma factors γ (s, π x τ, ψ) characterizes the isomorphism class of an irreducible admissible generic representation τ of GLn (F ), with F a non-archimedean local field, where τ runs through all irreducible supercuspidal representations of GLr (F ) and r runs through positive integers. The Jacquet conjecture asserts that it is enough to take r = 1, . . . , [n/2]. Based on arguments in the work of Henniart and of Chen giving preliminary steps towards the Jacquet conjecture, we formulate a general approach to proving the Jacquet conjecture. With this approach, the Jacquet conjecture is proved under an assumption which is then verified in several cases, including the case of level zero representations.

原文English
頁(從 - 到)991-1007
頁數17
期刊Journal of the European Mathematical Society
17
發行號4
DOIs
出版狀態Published - 2015 1月 1

All Science Journal Classification (ASJC) codes

  • 數學(全部)
  • 應用數學

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