naa a22 4500 510737080 CHVBK 20180411083014.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s13366-012-0096-4 doi (NATIONALLICENCE)springer-10.1007/s13366-012-0096-4 Geometric structures on finite- and infinite-dimensional Grassmannians [Elektronische Daten] [Andrea Blunck, Hans Havlicek] In this paper, we study the Grassmannian of n-dimensional subspaces of a 2n-dimensional vector space and its infinite-dimensional analogues. Such a Grassmannian can be endowed with two binary relations (adjacent and distant), with pencils (lines of the Grassmann space) and with so-called Z-reguli. We analyse the interdependencies among these different structures. The Managing Editors, 2012 Grassmann space nationallicence Grassmann graph nationallicence Projective matrix space nationallicence Distant graph nationallicence Regulus nationallicence Projective line over a ring nationallicence Chain geometry nationallicence Blunck Andrea Fachbereich Mathematik, Universität Hamburg, Bundesstraße 55, 20146, Hamburg, Germany aut Havlicek Hans Institut für Diskrete Mathematik und Geometrie, Technische Universität, Wiedner Hauptstraße 8-10/104, 1040, Wien, Austria aut Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer Berlin Heidelberg 54/2(2013-10-01), 533-547 0138-4821 54:2<533 2013 54 13366 https://doi.org/10.1007/s13366-012-0096-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13366-012-0096-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Blunck Andrea Fachbereich Mathematik, Universität Hamburg, Bundesstraße 55, 20146, Hamburg, Germany aut NATIONALLICENCE 700 1- Havlicek Hans Institut für Diskrete Mathematik und Geometrie, Technische Universität, Wiedner Hauptstraße 8-10/104, 1040, Wien, Austria aut NATIONALLICENCE 773 0- Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer Berlin Heidelberg 54/2(2013-10-01), 533-547 0138-4821 54:2<533 2013 54 13366 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer