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Journal of Lie Theory 29 (2019), No. 4, 1137--1152
Copyright Heldermann Verlag 2019

Lusztig-Vogan Bijection for the Complex Group G2

Mingjing Zhang
Dept. of Mathematics, Nanjing University, Nanjing 210093, P. R. China

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.

Keywords: Lusztig-Vogan bijection, dominant weight, nilpotent orbit, induced representation.

MSC: 17B08, 17B10, 17B25, 22E47.

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