Last Updated
：2025/12/04
symplectic group
Noun
Japanese Meaning
与えられた体 F と正の整数 n に対して、F上の2n×2nのシンプレクティック行列全体からなる群（線形代数及び群論における対象） / 体 F の元を用いた2n×2nの行列の中で、特定の対称性（対称双線形形式の保存）を満たす全行列の集合として定義される群
（ plural ）
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(linear algebra, group theory) For given field F and positive integer n, the group of 2n×2n symplectic matrices with elements in F.
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symplectic group
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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