Symplectic
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English
Etymology
A calque of Template:M, coined by Template:W in his 1939 book Template:W. From Template:Der, from Template:M (variant of Template:M), + Template:M (from Template:M); modelled on Template:M (from Latin Template:M, from Template:M + Template:M).
The symplectic group has previously been called the line complex group.
Pronunciation
Adjective
- Placed in or among, as if woven together.
- Template:Lb Whose characteristic abelian subgroups are cyclic.
- Template:Lb That is alternating and nondegenerate.
- Template:Lb That is equipped with an alternating nondegenerate bilinear form.
- Template:Lb Of or pertaining to (the geometry of) a differentiable manifold equipped with a closed nondegenerate bilinear form.
- Template:Quote-book
- 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).
- 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.
- Template:Quote-text
- Template:Quote-book
- That moves in the same direction as a system of synchronized waves.
- Template:Lb Of or pertaining to a symplectite; Template:L.
Antonyms
Derived terms
- Template:L
- Template:L
- Template:L Template:Gloss
- Template:L
- Template:L Template:Gloss
- Template:L
- Template:L
Related terms
Noun
- Template:Lb A symplectic bilinear form, manifold, geometry, etc.
- Template:Lb 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.
References
- The Classical Groups. Their Invariants and Representations, Template:W; Princeton University Press, 1939 Template:ISBN, footnote, p. 165
- The Symplectization of Science, Mark J. Gotay and Template:W, p. 13