Critical-type unitarizability and Arthur-packet conjecture
Critical-type unitarizability and Arthur-packet conjecture
Let be an irreducible representation of a split classical group and suppose that is of critical type, meaning that it is an irreducible subquotient of a representation satisfying the critical-type conditions on the inducing data. Critical-type Arthur-packet conjecture. If is unitarizable, then belongs to some Arthur packet. This extends the verified low-corank pattern to all unitarizable irreducible representations of critical type; the general assertion remains open.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Sources & referencesView supporting material
Primary source
Marko Tadic, “On unitarizability and Arthur packets”, arXiv:2010.14899 (2024).
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.