= Representation theory
{wiki=Representation_theory}
Representation theory is a branch of mathematics that studies how algebraic structures can be represented through linear transformations of vector spaces. More specifically, it often focuses on the representation of groups, algebras, and other abstract entities in terms of matrices and linear operators. \#\#\# Key Concepts 1. **Group Representations**: A group representation is a homomorphism from a group \\( G \\) to the general linear group \\( GL(V) \\), where \\( V \\) is a vector space.
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