Non-associative Algebra
Character theory is a branch of representation theory that studies the properties of algebraic structures, particularly focusing on how representations can be classified and analyzed using character functions. These character functions provide valuable insights into the structure and behavior of non-associative algebras by associating each representation with a function that captures important aspects of the algebra, including its symmetries and invariants. This theory plays a crucial role in understanding Jordan algebras, alternative algebras, and other non-associative structures, helping to unify concepts across different algebraic frameworks.
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