symplectic

Meanings

Adjective

• Placed in or among, as if woven together.
• Whose characteristic abelian subgroups are cyclic.
• That is alternating and nondegenerate.
• That is equipped with an alternating nondegenerate bilinear form.
• Of or pertaining to (the geometry of) a differentiable manifold equipped with a closed nondegenerate bilinear form.
• That moves in the same direction as a system of synchronized waves.
• Of or pertaining to a symplectite; symplectitic.

Noun

• A symplectic bilinear form, manifold, geometry, etc.
• 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.

Related

Opposite words

• antiplectic

Origin

• A calque of complex, coined by Hermann Weyl in his 1939 book The Classical Groups: Their Invariants and Representations. From Ancient Greek συμπλεκτικός, from συμ (variant of σύν), + πλεκτικός (from πλέκω); modelled on complex (from Latin complexus, from com- + plectere).
• The symplectic group has previously been called the line complex group.