Symplectic matrix

Noun

Word Frequency: 0.0

Definitions

1.NounFor given field F (especially the real numbers), even order 2n and nonsingular skew-symmetric matrix Ω, any 2n×2n matrix M with elements in F such that MΩM = Ω (where M denotes the transpose of M).

Synonyms

symplectic group symplectic skew-symmetry symplectization special linear group square matrix presemifield orthogonal matrix singular matrix symplectomorphism young symmetrizer invertible matrix

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