Source: wikibot/group-representation

= Group representation
{wiki=Group_representation}

Group representation is a concept from the field of abstract algebra and representation theory, which studies how groups can be represented by matrices and how their elements can act on vector spaces. Essentially, a group representation provides a way to express abstract group elements as linear transformations (or matrices) acting on a vector space. \#\#\# Key Concepts: 1. **Group**: A set equipped with an operation that satisfies four properties: closure, associativity, the existence of an identity element, and the existence of inverses.