
Maximal torus
A maximal torus is a concept from advanced mathematics, particularly in the study of symmetrical structures called Lie groups. Imagine a shape that has smooth, continuous rotations—like a doughnut or a sphere with rotational symmetries. A maximal torus is the largest possible set of such rotations within a particular group that still commute with each other (meaning performing them in any order yields the same result). It helps mathematicians understand the symmetry properties of complex structures by breaking them down into simpler, well-understood rotational parts.