triality
Triality is a concept that appears in various fields, most notably in mathematics and physics. In mathematics, particularly in group theory, triality refers to an isomorphism that relates three distinct representations of the exceptional Lie group G2. Specifically, it describes a symmetry between the standard representation of G2, its dual representation, and a seven-dimensional representation. This phenomenon is unique to G2 among all exceptional Lie groups and plays a significant role in understanding its structure and properties.
In physics, the term triality can refer to different concepts. In the context of particle physics, it