Brauer's 14th Problem and Dyson's Tenfold Way

2025/03/13 by Dmitriy Rumynin, Rumynin, Dmitriy, James A. Taylor +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Group Theory (math.GR) #Primary 20C15 #Representation Theory (math.RT) #Secondary 20D60

paper · pdf · doi:10.48550/arxiv.2503.10590

openalex publication_date 2025/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider Brauer's 14th Problem in the context of "Real" structures on finite groups and their antilinear representations. The problem is to count the number of characters of each different type using "group theory". While Brauer's original problem deals only with three types (real, complex and quaternionic), here we consider the ten types coming from Dyson's tenfold way.

Cited by

• Character Theory for Semilinear Representations

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