Geometric structures on finite- and infinite-dimensional Grassmannians

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Autor/in:
Erscheinungsjahr:
2013
Medientyp:
Text
Schlagworte:
  • Projective
  • Line
  • Quaternion ring
  • Decoding
  • Construction
  • Polynomials
  • Distant graph
  • Grassmann space
  • Projective matrix space
  • Grassmann graph
  • Regulus
  • Chain geometry
  • Projective line over a ring
  • Projective
  • Line
  • Quaternion ring
  • Decoding
  • Construction
  • Polynomials
Beschreibung:
  • 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. © 2012 The Managing Editors.
Lizenz:
  • info:eu-repo/semantics/restrictedAccess
Quellsystem:
Forschungsinformationssystem der UHH
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Quelldatensatz
oai:www.edit.fis.uni-hamburg.de:publications/9d44d6e6-b91f-4437-8583-abfc8aa80315