👉 In mathematics, a Lie group is a mathematical structure that consists of a set X and a collection of subsets (called left cosets) on the set X such that: 1. The identity element of the group is the identity function from X to X. 2. For every x in X there exists a unique subset of left cosets S(x) containing x, called the stabilizer of x by the group operation. 3. If A and B are two subsets of X with elements a and
