Depth preserving property of the local Langlands correspondence for quasi-split classical groups in a large residual characteristic

21 Jul 2018 Oi Masao

For a quasi-split classical group over a p-adic field with sufficiently large residual characteristic, we prove that the maximum of depth of representations in each L-packet equals the depth of the corresponding L-parameter. Furthermore, for quasi-split unitary groups, we show that the depth is constant in each L-packet... (read more)

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Categories


  • NUMBER THEORY
  • REPRESENTATION THEORY