Classifying Representations of Symmetric Groups

Abstract

The representations of the Symmetric Groups S_n carry a very rich combinatorial structure. In particular, their representations have connections to seemingly unrelated problems, including to symmetric polynomials and the theory of Young Tableau. We demonstrate some classical results in this subject, including a proof that the Specht Modules are all the irreducible representations, and their connections to combinatorics.

Domains and classifications

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