In representation theory, isomorphic refers to the relationship between two representations that have a one-to-one correspondence in structure and behavior, meaning they are essentially the same in terms of their algebraic properties. This concept implies that if two representations are isomorphic, they can be transformed into each other by a linear transformation, preserving the group structure and operations. Isomorphic representations allow mathematicians to classify and understand different representations by studying their similarities.
congrats on reading the definition of Isomorphic. now let's actually learn it.