Spin(7) is a special type of symmetry group that arises in the study of Riemannian geometry, specifically relating to the holonomy groups of 8-dimensional Riemannian manifolds. It is part of a larger classification system for holonomy groups that can be understood through their actions on various geometric structures, such as metrics and connections. Understanding Spin(7) helps in identifying specific geometrical properties of manifolds and their potential applications in theoretical physics.
congrats on reading the definition of spin(7). now let's actually learn it.