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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
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Young symmetrizers-like projections to the center of group algebra
Let $A:=\mathbb{C}S_n$ be the symmetric group aglebra.
Let $T$ be a standard Young tableaux of shape $\lambda$. Denote $R(T)$ and $C(T)$ as row and column stabilizers of $T$. For a set $S \subseteq S_ …