Representation Theory
Brauer characters are complex-valued functions that arise in the representation theory of finite groups, specifically in the context of modular representations where the characteristic of the field divides the order of the group. They provide a way to understand the representations of groups in a modular setting and are essential for analyzing blocks of representations. These characters are closely related to the concept of projective representations and can be used to derive important results like the Frobenius reciprocity theorem.
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