Vogan’s FPP conjecture for complex Lie groups

2024/07/23 by Chao-Ping Dong, Kayue Daniel Wong, Dong, Chao-Ping +1
Mathematics · #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology #Geometric and Algebraic Topology

paper · pdf · doi:10.1090/tran/9626

Abstract

In this paper, we give a proof of Vogan’s fundamental parallelepiped (FPP) conjecture for complex simple Lie groups. This results in a finite algorithm of classifying all irreducible unitary representations for these groups.

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