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symplectic matrices

symplectic matrices is the plural of symplectic matrix.

Meaning of symplectic matrix

Noun

symplectic matrix (plural symplectic matrices)

  1. For 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 MᵀΩM = Ω (where Mᵀ denotes the transpose of M).
    • Then we define the Krein signature of the eigenvalues of modulus one of a symplectic matrix and use this concept to build the rotation function on the symplectic group.2001, Alberto Abbondandolo, Morse Theory for Hamiltonian Systems, CRC Press (Chapman & Hall/CRC), page x

Questions about symplectic matrices

What is symplectic matrices the plural of?
Symplectic matrices is the plural of symplectic matrix.

Words near symplectic matrices in the dictionary

  1. symplastically
  2. symplasts
  3. symplectic
  4. symplectic group
  5. symplectic groups
  6. symplectic matrices
  7. symplectic matrix
  8. symplectically
  9. symplecticity
  10. symplectics
  11. symplectisation

Source and license

Adapted from Wiktionary: symplectic matrices (page history and authors); symplectic matrix (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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