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Standard Module Conjecture

Representation Theory 2007-05-23 v1 Number Theory

Abstract

Let G be a quasi-split p-adic group. Under the assumption that the local coefficients CψC_{\psi} defined with respect to ψ\psi -generic tempered representations of standard Levi subgroups of G are regular in the negative Weyl chamber, we show that the standard module conjecture is true, which means that the Langlands quotient of a standard module is generic if and only if the standard module is irreducible.

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Cite

@article{arxiv.math/0603395,
  title  = {Standard Module Conjecture},
  author = {V. Heiermann and G. Muic},
  journal= {arXiv preprint arXiv:math/0603395},
  year   = {2007}
}

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8 pages