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symplectic basis : ウィキペディア英語版 | symplectic basis In linear algebra, a standard symplectic basis is a basis of a symplectic vector space, which is a vector space with a nondegenerate alternating bilinear form , such that . A symplectic basis of a symplectic vector space always exists; it can be constructed by a procedure similar to the Gram–Schmidt process.〔Maurice de Gosson: ''Symplectic Geometry and Quantum Mechanics'' (2006), p.7 and pp. 12–13〕 The existence of the basis implies in particular that the dimension of a symplectic vector space is even if it is finite. == See also ==
*Darboux theorem *Symplectic frame bundle *Symplectic spinor bundle *Symplectic vector space
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「symplectic basis」の詳細全文を読む
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