Geodesic
Duflo's Conjecture for the Restriction of Tempered Representations of GL(n) to a Mirabolic Subgroup
Journal of Lie theory, Tome 34 (2024) no. 4, pp. 785-804
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We prove Duflo's conjecture in the setting of restriction of tempered representations of GL(n, R) (or GL(n, C)) to a mirabolic subgroup. The proof is mainly based on Sahi's results concerning the branching laws in this setting and precise knowledge of the moment map that we obtain in this paper.
Classification : 22E46
Mots-clés : Duflo's conjecture, Kirillov's conjecture, orbit method, tempered representations, moment map 
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     author = {G. Liu and J. Yu},
     title = {Duflo's {Conjecture} for the {Restriction} of {Tempered} {Representations} of {GL(n)} to a {Mirabolic} {Subgroup}},
     journal = {Journal of Lie theory},
     pages = {785--804},
     year = {2024},
     volume = {34},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2024_34_4_JLT_2024_34_4_a2/}
}
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G. Liu; J. Yu. Duflo's Conjecture for the Restriction of Tempered Representations of GL(n) to a Mirabolic Subgroup. Journal of Lie theory, Tome 34 (2024) no. 4, pp. 785-804. http://geodesic.mathdoc.fr/item/JLT_2024_34_4_JLT_2024_34_4_a2/