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Lagrangian Grassmannian

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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.

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