The good-parity Arthur-type conjecture for classical groups
The good-parity Arthur-type conjecture for classical groups
Let be a classical group, and let be the set of good-parity representations. Write for the good-parity Arthur representations, for the good-parity part of the Arthur closure, and for the good-parity unitary representations.
Good-parity Arthur-type conjecture. For a classical group ,
Equivalently, for every , is of Arthur type if and only if it is unitary. This is proposed as a representation-theoretic description of Arthur representations; its general validity is not established in the supplied text.
Sources & referencesView supporting material
Primary source
Alexander Hazeltine, Dihua Jiang, Baiying Liu, Chi-Heng Lo and Qing Zhang, “On Arthur representations and the unitary dual”, arXiv:2410.11806 (2026).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.