In mathematics, a Grassmannian may refer to:
Affine Grassmannian Affine Grassmannian (manifold) Grassmannian, the classical parameter space for linear subspaces of a linear space or projective space Lagrangian Grassmannian
See also Grassmann algebra, or exterior algebra, a setting where the exterior product is defined. Grassmann number, a construction for path integrals of fermionic fields in physics. Grassmann integral, a method for integrating functions of Grassmann variables