Adjoint Representations of the Symmetric Group
Can, Mahir Bilen; Jones, Miles;
Adjoint Representations of the Symmetric Group
We study the restriction to the symmetric group, $\mc{S}_n$ of the adjoint representation of $\mt{GL}_n(\C)$. We determine the irreducible constituents of the space of symmetric as well as the space of skew-symmetric $n\times n$ matrices as $\mc{S}_n$-modules.
arXiv admin note: text overlap with arXiv:1708.02995
FOS: Mathematics, Mathematics - Combinatorics, 05E10, 20C30, 16W22, Combinatorics (math.CO), Representation Theory (math.RT), Mathematics - Representation Theory
FOS: Mathematics, Mathematics - Combinatorics, 05E10, 20C30, 16W22, Combinatorics (math.CO), Representation Theory (math.RT), Mathematics - Representation Theory
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