symplectic

Etymology
A calque of, coined by in his 1939 book . From, from (variant of ), +  (from ); modelled on  (from Latin , from  + ).

The symplectic group has previously been called the line complex group.

Adjective

 * 1) Placed in or among, as if woven together.
 * 2)  Whose characteristic abelian subgroups are cyclic.
 * 3)  That is alternating and nondegenerate.
 * 4)  That is equipped with an alternating nondegenerate bilinear form.
 * 5)  Of or pertaining to (the geometry of) a differentiable manifold equipped with a closed nondegenerate bilinear form.
 * 6) * 1997, C. H. Cushman-de Vries (translator), Richard H. Cushman, Gijs M. Tuynman (translation editors), Jean-Marie Souriau, Structure of Dynamical Systems: A Symplectic View of Physics, Springer Science & Business Media (Birkhäuser).
 * 7) * 2003, Fabrizio Catanese, Gang Tian (editors), Symplectic 4-Manifolds and Algebraic Surfaces: Lectures given at the C.I.M.E Summer School, Springer, Lecture Notes in Mathematics No. 1938.
 * 8) That moves in the same direction as a system of synchronized waves.
 * 9)  Of or pertaining to a symplectite;.
 * 1) That moves in the same direction as a system of synchronized waves.
 * 2)  Of or pertaining to a symplectite;.
 * 1)  Of or pertaining to a symplectite;.

Antonyms

 * antiplectic

Derived terms

 * symplectic bilinear form
 * structure that is invariant under a symplectic form (regarded as a mapping)
 * symplectic bilinear form
 * structure that is invariant under a symplectic form (regarded as a mapping)
 * structure that is invariant under a symplectic form (regarded as a mapping)

Noun

 * 1)  A symplectic bilinear form, manifold, geometry, etc.
 * 2)  A bone in the teleostean fishes that forms the lower ossification of the suspensorium, and which articulates below with the quadrate bone by which it is firmly held.
 * 1)  A bone in the teleostean fishes that forms the lower ossification of the suspensorium, and which articulates below with the quadrate bone by which it is firmly held.