Journal of Lie Theory

no. 4
Lusztig-Vogan Bijection for the Complex Group G2
Journal of Lie Theory, Volume 29 (2019) no. 4, pp. 1137-1152
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.
DOI: 10.5802/jolt.1097
Classification: 17B08, 17B10, 17B25, 22E47
Keywords: Lusztig-Vogan bijection, dominant weight, nilpotent orbit, induced representation 
@article{JOLT_2019_29_4_a14,
     author = {M. 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},
     doi = {10.5802/jolt.1097},
     zbl = {1436.17009},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1097/}
}
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M. Zhang. Lusztig-Vogan Bijection for the Complex Group G2. Journal of Lie Theory, Volume 29 (2019) no. 4, pp. 1137-1152. doi: 10.5802/jolt.1097

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