The unitary dual conjecture for general connected reductive groups
The unitary dual conjecture for general connected reductive groups
Let be a non-Archimedean local field of characteristic zero, and let be a general connected reductive group defined over . Let denote the set of Arthur representations, and let be the set obtained from them by unitary parabolic induction, complementary series, and limits of complementary series. Assume that the local Arthur conjecture holds for every Levi subgroup of . Unitary dual conjecture. The two sets are equal:
This conjecture seeks to construct the entire unitary dual from Arthur representations using the standard unitary constructions; its resolution is not established by the supplied text.
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Sources & referencesView supporting material
Primary source
Baiying Liu, Chi-Heng Lo and Brian Wen, “On corank 4 unitary representations of classical groups”, arXiv:2603.22255 (2026).
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