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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_representation
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