👉 In mathematics, a semitact is a term used to describe a specific mathematical object or concept. In the context of algebraic geometry and representation theory, it refers to a class of objects known as semistable representations. These are defined by a sequence of subgroups that satisfy certain properties, such as being stable under diagonal transformations. The study of semistable representations is an important area in the field of representation theory, with many applications in various areas of mathematics and physics.