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A Conjecture for Multiplicities of Strongly Tempered Spherical Varieties

Representation Theory 2023-08-23 v1 Number Theory

Abstract

In this paper, we form a conjecture about the multiplicities of all the strongly tempered spherical varieties without Type N root for tempered representations. This generalizes the epsilon dichotomy conjectures of Gan-Gross-Prasad and Wan-Zhang.

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Cite

@article{arxiv.2308.11425,
  title  = {A Conjecture for Multiplicities of Strongly Tempered Spherical Varieties},
  author = {Chen Wan and Lei Zhang},
  journal= {arXiv preprint arXiv:2308.11425},
  year   = {2023}
}

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17 pages