That is, ρ(G) has an invariant line L, on which G therefore acts through a one-dimensional representation.
But this compendium of emotions is absent from the patriotic, one-dimensional representations of grief assigned to Sept. 11 victims on television and in political speeches.
Every symmetric group has a one-dimensional representation called the trivial representation, where every element acts as the one by one identity matrix.
The alternating groups for n 5 have only one one-dimensional irreducible representation, the trivial representation.
In theoretical physics, a singlet usually refers to a one-dimensional representation (e.g. a particle with vanishing spin).
It is primarily used in one-dimensional representations of turbulent flow, since it can be applied across a wide range of length scales and Reynolds numbers.
Earlier work on DFSs described DF states as singlets, which are one-dimensional irreducible representations.
In addition, for the real orthogonal groups, there are three characters (one-dimensional representations)
The weight λ gives rise to a character (one-dimensional representation) of the Borel subgroup B, which is denoted χ.
A list may be seen as a rough one-dimensional representation of a phylogenetic tree.