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Results tagged with symplectic-group
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user 123673
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Decomposition of symmetric powers of the fundamental representation of $\text{Sp}(2n,\mathbb...
As testaccount says, it is just $\mathrm{Sym}^k(V)$. One way to see it is the Weyl dimension formula. The positive roots of type $C_n$ are $\{2\epsilon_i:1\le i\le n\}\cup\{\epsilon_i\pm\epsilon_j:1\l …
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