Modular representation theory is a branch of representation theory that deals with the study of algebraic structures, particularly groups, over fields with finite characteristic. This area of mathematics arises in various contexts, particularly in the representation theory of finite groups and modular forms in algebra. Here's a breakdown of key concepts in modular representation theory: 1. **Representation Theory**: This is the study of how algebraic structures (like groups, rings, or algebras) can be represented through matrices and linear transformations.
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