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 different type using "group theory". While Brauer's original problem deals only with the three types (real, complex and quaternionic), here we consider the ten types coming from Dyson's tenfold way.

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

James Taylor
2025

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 different type using "group theory". While Brauer's original problem deals only with the three types (real, complex and quaternionic), here we consider the ten types coming from Dyson's tenfold way.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3552251
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