 Induced representation

Induction extends a representation of a subgroup to the whole group; Frobenius reciprocity computes its multiplicities.

Induced representation is a concept from representation theory in mathematics, particularly in the study of group theory. It allows one to construct a representation of a larger group from a representation of a subgroup. To understand induced representations, consider the following key ideas: 1. **Groups and Representations**: A group is a mathematical structure consisting of a set of elements equipped with an operation that satisfies certain axioms (closure, associativity, identity, and invertibility).