Lagrangian Grassmannian
id:
lagrangian-grassmannian-202-13450348
title:
Lagrangian Grassmannian
text:
In mathematics, the Lagrangian Grassmannian is the smooth manifold of Lagrangian subspaces of a real symplectic vector space V. Its dimension is 1/2n(n + 1) (where the dimension of V is 2n). It may be identified with the homogeneous space where U(n) is the unitary group and O(n) the orthogonal group. Following Vladimir Arnold it is denoted by Λ(n). The Lagrangian Grassmannian is a submanifold of the ordinary Grassmannian of V. A complex Lagrangian Grassmannian is the complex homogeneous manifold
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Lagrangian_Grassmannian
date created:
date modified:
2023-01-18T23:31:36Z
main entity:
{"identifier":"Q3150398","url":"https://www.wikidata.org/entity/Q3150398"}
image:
fields total:
13
integrity:
13