Character triples and weights

2025/02/02 by Zhicheng Feng, Feng, Zhicheng · 2 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #FOS: Mathematics #Group Theory (math.GR) #Holomorphic and Operator Theory #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2502.00774

openalex publication_date 2025/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define a new relation between character triples and prove some Clifford theory properties for weights in terms of character triples.

Cited by

• A reduction theorem for the blockwise Navarro Alperin weight conjecture via H-triples
• Generic weights for finite reductive groups

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• The Alperin Weight Conjecture and the Glauberman correspondence via character triples
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• A reduction theorem for the Character Triple Conjecture