**Symplectic** may refer to:

in **Mathematics:**

- Symplectic Clifford algebra, see Weyl algebra
- Symplectic geometry
- Symplectic group
- Symplectic integrator
- Symplectic manifold
- Symplectic matrix
- Symplectic representation
- Symplectic vector space

in **Biology:**

- Symplectic bone, a bone found in fish skulls

### Other articles related to "symplectic":

Almost

... In differential geometry, an almost

**Symplectic**Manifold... In differential geometry, an almost

**symplectic**structure on a differentiable manifold M is a two-form ω on M which is everywhere non-singular ... If, in addition, ω is closed, then it is a**symplectic**form ... An almost**symplectic**manifold is an Sp-structure requiring ω to be closed is an integrability condition ...**Symplectic**Representation

... equivalently a group or Lie algebra homomorphism from G or g to the

**symplectic**group Sp(V,ω) or its Lie algebra sp(V,ω) If G is a compact group (for example, a finite group), and F ... representations of finite or compact groups are often called

**symplectic**representations, and may be identified using the Frobenius-Schur indicator ...

Classical Groups Over General Fields or Rings -

... The

**Symplectic**Groups... The

**symplectic**group Sp2n(R) preserves a skew symmetric form on a module ... It has a quotient, the projective**symplectic**group PSp2n(R) ... The general**symplectic**group GSp2n(R) consists of the automorphisms of a module multiplying a skew symmetric form by some invertible scalar ...**Symplectic**Sum - History and Applications

... The

**symplectic**sum was first clearly defined in 1995 by Robert Gompf ... to demonstrate that any finitely presented group appears as the fundamental group of a

**symplectic**four-manifold ... Thus the category of

**symplectic**manifolds was shown to be much larger than the category of Kähler manifolds ...

Main Site Subjects

Related Subjects

Related Phrases

Related Words