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Symplectic vector space

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A symplectic basis $(e_1,\ldots,e_n,f_1,\ldots,f_n)$ has pairings $\omega(e_i,f_j)=\delta_{ij}$ and all pairings between two $e_i$ or two $f_i$ equal to zero.


Symplectic basis

Paper 167 / 4 / i / Solution

Paper 102 / 3 / i / Solution

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A symplectic basis is a particular type of basis for a symplectic vector space, which is a vector space equipped with a non-degenerate, skew-symmetric bilinear form known as the symplectic form.


Symplectic basis

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Symplectic basis

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