1. Symplectic matrixLet M be a 2n×2n matrix with real entries. Then M is called a symplectic matrix if it satisfies the condition
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where M denotes the transpose of M and Ω is a fixed nonsingular, skew-symmetric matrix. Typically Ω is chosen to be the block matrix where In is the n×n identity matrix. Note that Ω has determinant +1 and has an inverse given by Ω = Ω = −Ω.
Read “Symplectic matrix” on English Wikipedia
Read “斜交行列” on Japanese Wikipedia
Read “Symplectic matrix” on DBpedia
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