Symplectic matrix

English

Noun

1. Template:Lb 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 M^TΩM = Ω (where M^T denotes the transpose of M).
   • Template:Quote-book
   • Template:Quote-book
   • Template:Quote-book

Usage notes

Ω is often chosen to be the block matrix $\mathrm{\Omega }=\left[\begin{array}{cc}0& I_n\\ -I_n& 0\end{array}\right]$, where I_n is the n×n identity matrix.

Translations

• Chinese:

  Mandarin: Template:T

• Finnish: Template:T
• French: Template:T
• German: Template:T
• Italian: Template:T