Symplectic basis

In linear algebra, a standard symplectic basis is a basis of a symplectic vector space, a vector space with a nondegenerate skew-symmetric form , such that . A symplectic basis always exists; in fact, it can be constructed by a procedure similar to the Gram–Schmidt process.^[1]

See also

• Darboux theorem
• Symplectic frame bundle
• Symplectic spinor bundle
• Symplectic vector space

Notes

References

• da Silva, A.C., Lectures on Symplectic Geometry, Springer (2001). ISBN 3-540-42195-5.
• Maurice de Gosson: Symplectic Geometry and Quantum Mechanics (2006) Birkhäuser Verlag, Basel ISBN 978-3-7643-7574-4.