The kernel of a representation is the set of group elements that are mapped to the identity element of the target space by the representation. It captures the elements of the group that act trivially in the representation, revealing important information about the structure and behavior of the group. Understanding the kernel helps to analyze how representations can be decomposed and how irreducible representations relate to each other, especially in finite group theory.
congrats on reading the definition of Kernel of Representation. now let's actually learn it.