Geodesic
An Algebraic Approach to Duflo's Polynomial Conjecture in the Nilpotent Case
Journal of Lie theory, Tome 29 (2019) no. 3, pp. 839-879
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We introduce a new algebraic approach to Duflo's polynomial conjecture in the nilpotent case. Duflo's polynomial conjecture is an algebraic abstraction of the problem about the center of the algebra of all invariant differential operators on a homogeneous linear bundle.
Classification : 22E30, 22E25
Mots-clés : Polynomial conjecture, Poisson algebra, F-method, harmonic analysis, Lie group, representation theory 
@article{JLT_2019_29_3_JLT_2019_29_3_a10,
     author = {Y. Tanimura},
     title = {An {Algebraic} {Approach} to {Duflo's} {Polynomial} {Conjecture} in the {Nilpotent} {Case}},
     journal = {Journal of Lie theory},
     pages = {839--879},
     year = {2019},
     volume = {29},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2019_29_3_JLT_2019_29_3_a10/}
}
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Y. Tanimura. An Algebraic Approach to Duflo's Polynomial Conjecture in the Nilpotent Case. Journal of Lie theory, Tome 29 (2019) no. 3, pp. 839-879. http://geodesic.mathdoc.fr/item/JLT_2019_29_3_JLT_2019_29_3_a10/