Unit representation
From Encyclopedia of Mathematics - Reading time: 1 min
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) | Licensed under CC BY-SA 3.0. Source: https://encyclopediaofmath.org/wiki/Unit_representation18 views | ↧ Download this article as ZWI file
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