Subag's Jantzen quotient conjecture
Subag's Jantzen quotient conjecture
Let be a real structure of an algebraic family of Harish–Chandra pairs , let , and let . When a nonzero rational intertwining operator from to its -twisted dual exists, it determines a Jantzen filtration, and denotes the unique Jantzen quotient containing . The notation denotes the unique composition factor containing . Subag's Jantzen quotient conjecture. For every and every for which is reducible,
The claim would provide a method for computing the composition factor used in the correspondence from Jantzen filtrations; it is stated as an additional conjecture and is not resolved in the paper.
Sources & referencesView supporting material
Primary source
Eyal Subag, “The algebraic Mackey-Higson bijections”, arXiv:1706.05616 (2017).
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