Editing Weight (representation theory) (section)

===Dominant weight===
An integral element <math>\lambda</math> is ''dominant'' if <math>(\lambda,\gamma)\geq 0</math> for each positive root <math>\gamma</math>. Equivalently, <math>\lambda</math> is dominant if it is a ''non-negative'' integer combination of the fundamental weights. In the <math>A_2</math> case, the dominant integral elements live in a 60-degree sector. The notion of being dominant is not the same as being higher than zero. Note the grey area in the picture on the right is a 120-degree sector, strictly containing the 60-degree sector corresponding to the dominant integral elements.

The set of all λ (not necessarily integral) such that <math>(\lambda,\gamma)\geq 0</math> for all positive roots <math>\gamma</math> is known as the ''fundamental Weyl chamber'' associated to the given set of positive roots.