👉 In algebra, particularly in group theory, a coadjoint element is a specific element of a group G that has an inverse under the group operation. In other words, it represents the identity element when acting on the coset space GL(n,R), where R is any ring. A coadjoint element can be thought of as an element that acts like its own inverse in the sense that multiplying by it returns you to your original element. In other words, if a group G has a co