Geodesic
Lusztig-Vogan Bijection for the Complex Group G2
Mingjing Zhang1
1Dept. of Mathematics, Nanjing University, Nanjing 210093, P. R. China
Journal of Lie Theory, Tome 29 (2019) no. 4, pp. 1137-1152

Voir la notice de l'article provenant de la source Heldermann Verlag

Let G be a complex reductive Lie group. There is a bijection η between its dominant weights Λ+ and the set NO, τ. This bijection is called the Lusztig-Vogan bijection. In this paper, we present the combinatorial description of the Lusztig-Vogan bijection for the exceptional complex Lie group G2.
Classification : 17B08, 17B10, 17B25, 22E47
Mots-clés : Lusztig-Vogan bijection, dominant weight, nilpotent orbit, induced representation

Mingjing Zhang  1

1 Dept. of Mathematics, Nanjing University, Nanjing 210093, P. R. China 
Mingjing Zhang. Lusztig-Vogan Bijection for the Complex Group G2. Journal of Lie Theory, Tome 29 (2019) no. 4, pp. 1137-1152. http://geodesic.mathdoc.fr/item/JOLT_2019_29_4_a14/
@article{JOLT_2019_29_4_a14,
     author = {Mingjing Zhang},
     title = {Lusztig-Vogan {Bijection} for the {Complex} {Group} {G\protect\textsubscript{2}}},
     journal = {Journal of Lie Theory},
     pages = {1137--1152},
     year = {2019},
     volume = {29},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2019_29_4_a14/}
}
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