Vogan’s FPP conjecture for complex Lie groups

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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Publication Details

Journal
Transactions of the American Mathematical Society
Published
2025-12-05
DOI
https://doi.org/10.1090/tran/9626
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
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article

Vogan’s FPP conjecture for complex Lie groups

Kayue Daniel Wong, Chao-Ping Dong
Transactions of the American Mathematical Society
Advanced Algebra and Geometry
article

Vogan’s FPP conjecture for complex Lie groups

Kayue Daniel Wong, Chao-Ping Dong
article en

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.

Transactions of the American Mathematical SocietyVol. 379(2)
Soochow University (CN), Chinese University of Hong Kong, Shenzhen (CN)
Openalex Percentile: Top 57%
Advanced Algebra and Geometry
DOISourceOpenAlex
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Vogan’s FPP conjecture for complex Lie groups — Kayue Daniel Wong, Chao-Ping Dong · Transactions of the American Mathematical Society (2025) | TGRS Research Map | TGRS