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Results tagged with symplectic-group
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user 510150
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Decomposition of symmetric powers of the fundamental representation of $\text{Sp}(2n,\mathbb...
Yes, it is just $\operatorname{Sym}^k(V)$ itself.
Specifically: Let $V = \mathbb{C}^{2n}$ be the natural module for $Sp(2n, \mathbb{C})$. Then for all $k \geq 1$, the symmetric power $\operatorname{Sy …
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