Source: wikibot/lagrangian-grassmannian
= Lagrangian Grassmannian
{wiki=Lagrangian_Grassmannian}
The Lagrangian Grassmannian is a specific type of Grassmannian manifold that is associated with symplectic vector spaces. It can be understood as follows: 1. **Grassmannian Manifold**: In general, a Grassmannian \\( G(k, n) \\) is the space of all \\( k \\)-dimensional linear subspaces of an \\( n \\)-dimensional vector space. It has a rich structure and is a smooth manifold.