Bulletin of the Belgian Mathematical Society - Simon Stevin
- Bull. Belg. Math. Soc. Simon Stevin
- Volume 23, Number 3 (2016), 321-343.
Grassmannians of arbitrary rank
We introduce a generalization of Grassmannians of projective spaces that allows us to consider subspaces of any (possibly infinite) rank as points of the Grassmannian. We show that the spaces that we obtain, carry in a natural way the structure of a twin building.
Bull. Belg. Math. Soc. Simon Stevin, Volume 23, Number 3 (2016), 321-343.
First available in Project Euclid: 6 September 2016
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14M15: Grassmannians, Schubert varieties, flag manifolds [See also 32M10, 51M35] 51A45: Incidence structures imbeddable into projective geometries 51E24: Buildings and the geometry of diagrams 51M35: Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) [See also 14M15]
Huggenberger, Simon. Grassmannians of arbitrary rank. Bull. Belg. Math. Soc. Simon Stevin 23 (2016), no. 3, 321--343. https://projecteuclid.org/euclid.bbms/1473186508