Critical-type unitarizability and Arthur-packet conjecture

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Let π\pi be an irreducible representation of a split classical group and suppose that π\pi 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 π\pi is unitarizable, then π\pi 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.

References

Primary source

Marko Tadic, “On unitarizability and Arthur packets”, arXiv:2010.14899 (2024).

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