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On corank 4 unitary representations of classical groups

Representation Theory 2026-03-24 v1 Number Theory

Abstract

In this paper, we explicitly classify the corank 4 unitary representations of symplectic or split odd special orthogonal groups over non-Archimedean local fields of characteristic zero, by classifying Arthur representations of corank 4 and verifying the corresponding unitary dual conjecture recently proposed by Hazeltine-Jiang-Liu-Lo-Zhang in [HJLLZ24].

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Cite

@article{arxiv.2603.22255,
  title  = {On corank 4 unitary representations of classical groups},
  author = {Baiying Liu and Chi-Heng Lo and Brian Wen},
  journal= {arXiv preprint arXiv:2603.22255},
  year   = {2026}
}

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R2 v1 2026-07-01T11:33:46.034Z