MathGloss

The compact symplectic group $\text{Sp}(n)$ is the group intersection of the complex symplectic group $\text{Sp}(2n,\mathbb C)$ and the unitary group $\text{U}(2n)$: $$\text{Sp}(n) = \text{Sp}(2n,\mathbb C)\cap\text{U}(2n).$$ It is a matrix Lie group.

Wikidata ID: Q78484790

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