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symplectic

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EnglishEdit

EtymologyEdit

A calque of complex, coined by Hermann Weyl in his 1939 book The Classical Groups: Their Invariants and Representations. From Ancient Greek συμπλεκτικός (sumplektikós), from συμ (sum) (variant of σύν (sún)), + πλεκτικός (plektikós) (from πλέκω (plékō)); modelled on complex (from Latin complexus (braided together), from com- (together) + plectere (to weave, braid)). In both cases the suffix is from Proto-Indo-European *plek-.

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

AdjectiveEdit

symplectic (not comparable)

  1. (mathematics) Describing the geometry of differentiable manifolds equipped with a closed, nondegenerate bilinear form.

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