Multiplicity equality conjecture for elliptic A-parameters
Multiplicity equality conjecture for elliptic A-parameters
Let be a unitary group or an even orthogonal group, and let
be an elliptic -parameter for . Let be an irreducible representation of such that the -parameter of is for almost all places . Multiplicity equality conjecture. The discrete multiplicity of equals its predicted multiplicity:
This conjecture is formulated to extend the paper's multiplicity formula from generic elliptic -parameters to all elliptic -parameters, by implying equality in J.-S. Li's inequality. The supplied passage does not state whether it has been proved or remains open.
Sources & referencesView supporting material
Primary source
Rui Chen and Jialiang Zou, “Arthur's multiplicity formula for even orthogonal and unitary groups”, arXiv:2103.07956 (2024).
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