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The real quadrangle of type E6
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Torsten Kurth
Published/Copyright:
April 23, 2010
Abstract
Based on the first author's diploma thesis [Kurth, On a real form of E6 and its related generalized quadrangle, 2000] we use the theories of Lie groups and of Tits buildings in order to describe a Veronese embedding of the real quadrangle of type E6, i.e., the C2 sub-building of the complex E6 building corresponding to the real form E6(–14) of the semisimple complex Lie group of type E6.
Received: 2008-04-23
Published Online: 2010-04-23
Published in Print: 2010-July
© de Gruyter 2010
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Articles in the same Issue
- On the characteristic direction of real hypersurfaces in and a symmetry result
- Small maximal partial spreads in classical finite polar spaces
- On antipodes on a convex polyhedron II
- On the quadratic normality and the triple curve of three-dimensional subvarieties of
- A generalization of the Giulietti–Korchmáros maximal curve
- Busemann Functions and the Julia–Wolff–Carathéodory Theorem for polydiscs
- Generalized polygons with non-discrete valuation defined by two-dimensional affine ℝ-buildings
- Measures on the space of convex bodies
- On the scalar curvature of hypersurfaces in spaces with a Killing field
- The real quadrangle of type E6
- Triple-point defective surfaces
- On surfaces with pg = 2q – 3
- A counter example to an ideal membership test
