Character (mathematics)

In mathematics, particularly in the field of abstract algebra and representation theory, the term "character" can refer to a specific way of representing group elements as complex numbers, which encapsulates important information about the group's structure. 1. **Group Characters**: For a finite group \( G \), a character is a homomorphism from \( G \) to the multiplicative group of complex numbers \( \mathbb{C}^* \).