Can someone explain what does right and left regular representations of a group G mean and the purpose of it?
thanks!
no,it actually means that each $\displaystyle \lambda_a$ is a permutation on $\displaystyle G$, and all these $\displaystyle \lambda_a$form a group which is isomorphic to $\displaystyle G$.
All the left regular representations of G form a group that is isomorphic to G, so does the right regular representations.