# Unit representation

From Encyclopedia of Mathematics

The one-dimensional representation of a group $G$ that maps each element of $G$ to the number 1. More generally, the unit representation of a group $G$ in a vector space $E$ is the representation of $G$ that maps each element of $G$ to the identity operator in $E$. The unit representation is sometimes also called the trivial representation.

**How to Cite This Entry:**

Unit representation.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Unit_representation&oldid=32077

This article was adapted from an original article by A.I. Shtern (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article