Journal of Lie Theory

no. 2
A Generalization of Duflo's Conjecture
Journal of Lie Theory, Volume 32 (2022) no. 2, pp. 519-552
We generalize Duflo's conjecture to understand the branching laws of non-discrete series. We give a unified description on the geometric side about the restriction of an irreducible unitary representation π of GLn(k), k = R or C, to the mirabolic subgroup, where π is attached to a certain kind of coadjoint orbit.
DOI: 10.5802/jolt.1241
Classification: 22E46, 17B08, 53D20
Keywords: Kirillov's conjecture, Duflo's conjecture, orbit method, moment map 
@article{JOLT_2022_32_2_a9,
     author = {H. Zhang},
     title = {A {Generalization} of {Duflo's} {Conjecture}},
     journal = {Journal of Lie Theory},
     pages = {519--552},
     year = {2022},
     volume = {32},
     number = {2},
     doi = {10.5802/jolt.1241},
     zbl = {1504.22019},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1241/}
}
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H. Zhang. A Generalization of Duflo's Conjecture. Journal of Lie Theory, Volume 32 (2022) no. 2, pp. 519-552. doi: 10.5802/jolt.1241

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