= Representation theory of the symmetric group
{wiki=Representation_theory_of_the_symmetric_group}
Representation theory of the symmetric group is a branch of mathematics that studies how symmetric groups, which are groups of permutations of a finite set, can be represented as linear transformations of vector spaces. This area is particularly important in various fields, including algebra, combinatorics, and physics. \#\#\# Key Concepts 1. **Symmetric Group:** The symmetric group \\( S_n \\) is the group of all permutations of \\( n \\) objects. It has \\( n! \\) elements.
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