The Murnaghan-Nakayama Rule is a combinatorial tool used to compute the characters of symmetric groups, specifically in relation to the representations associated with partitions. It connects the structure of Young diagrams and the hook-length formula, which are crucial in understanding symmetric group representations and their plethysms. This rule expresses how to compute the character values by considering specific subdiagrams and their contributions, which leads to deeper insights into representation theory.
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