Last Updated:2025/12/04

The symplectic group plays a central role in classical mechanics and algebraic geometry because it preserves a nondegenerate skew-symmetric bilinear form.

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The symplectic group plays a central role in classical mechanics and algebraic geometry because it preserves a nondegenerate skew-symmetric bilinear form.

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体Fおよび正の整数nに対して、F上の2n×2nの行列で非退化な交代(斜対称)双線形形式を保存する群は、古典力学や代数幾何学で中心的な役割を果たします。

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