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Book: SymplecticGeometry


See: Study math

Grasp the key concepts of symplectic geometry and their origins in the symplectic Lie algebras and groups.



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Ben Webster

Quaternions

A complex number {$c=aI+bJ$} is built up from real numbers {$a$} and {$b$}.

{$a\begin{pmatrix}1 & 0 \\ 0 & 1 \end{pmatrix} + b\begin{pmatrix}0 & 1 \\ -1 & 0\end{pmatrix} $}

A quaternion {$q=cI+dJ$} is built up from complex numbers {$c$} and {$d$}.

{$c\begin{pmatrix}0 & 1 \\ -1 & 0\end{pmatrix} + d\begin{pmatrix}1 & 0 \\ 0 & 1 \end{pmatrix} $}

Parsiųstas iš http://www.ms.lt/sodas/Book/SymplecticGeometry
Puslapis paskutinį kartą pakeistas 2019 spalio 13 d., 00:08