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Witt-Type Theorems for Grassmannians and Lie Incidence Geometries
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B. N. Cooperstein
Published/Copyright:
July 27, 2005
Abstract
For a subset of a Lie incidence geometry two intrinsic notions of independence are introduced. Also defined is the notion of a parabolic subspace. A classification is achieved for certain independent subgraphs of the point collinearity graph of the Lie incidence geometries An,k, Bn,n, Dn,n. As a corollary it is proved that certain subspaces of these geometries are parabolic and transitivity results are obtained.
Key words: Incidence geometry; Lie incidence geometry; singular independence; local independence; parabolic subspace
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Published Online: 2005-07-27
Published in Print: 2005-01-01
© de Gruyter
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- Witt-Type Theorems for Grassmannians and Lie Incidence Geometries
- Existence of Vector Bundles of Rank Two with Sections
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- Eigenspaces of Linear Collineations
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Keywords for this article
Incidence geometry;
Lie incidence geometry;
singular independence;
local independence;
parabolic subspace
Articles in the same Issue
- Three-Dimensional Projection Bodies
- Witt-Type Theorems for Grassmannians and Lie Incidence Geometries
- Existence of Vector Bundles of Rank Two with Sections
- On the Quantum Cohomology of Some Fano Threefolds
- Eigenspaces of Linear Collineations
- Residues for Holomorphic Foliations of Singular Pairs
- On the Length of the Cut Locus for Finitely Many Points
- Topological Shift Spaces
- The Thick Frame of a Weak Twin Building
- Free Planes in Lattice Sphere Packings
- Euler Integration and Euler Multiplication
