Open Access
september 2016 Grassmannians of arbitrary rank
Simon Huggenberger
Bull. Belg. Math. Soc. Simon Stevin 23(3): 321-343 (september 2016). DOI: 10.36045/bbms/1473186508

Abstract

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.

Citation

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Simon Huggenberger. "Grassmannians of arbitrary rank." Bull. Belg. Math. Soc. Simon Stevin 23 (3) 321 - 343, september 2016. https://doi.org/10.36045/bbms/1473186508

Information

Published: september 2016
First available in Project Euclid: 6 September 2016

zbMATH: 1353.14060
MathSciNet: MR3545455
Digital Object Identifier: 10.36045/bbms/1473186508

Subjects:
Primary: 14M15 , 51A45 , 51E24 , 51M35

Keywords: Grassmannians , incidence geometry of infinite rank , Twin buildings

Rights: Copyright © 2016 The Belgian Mathematical Society

Vol.23 • No. 3 • september 2016
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