Symplectic basis
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254:{\displaystyle \omega ({\mathbf {e} }_{i},{\mathbf {e} }_{j})=0=\omega ({\mathbf {f} }_{i},{\mathbf {f} }_{j}),\omega ({\mathbf {e} }_{i},{\mathbf {f} }_{j})=\delta _{ij}}
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265:. The existence of the basis implies in particular that the dimension of a symplectic vector space is even if it is finite.
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261:. A symplectic basis of a symplectic vector space always exists; it can be constructed by a procedure similar to the
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65:{\displaystyle {\mathbf {e} }_{i},{\mathbf {f} }_{i}}
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328:Lectures on Symplectic Geometry
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378:. You can help Knowledge by
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312:(2006), p.7 and pp. 12–13
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