On the generating rank and embedding rank of the hexagonic Lie incidence geometries
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Publication:6548021
DOI10.1007/S00493-023-00075-YMaRDI QIDQ6548021
Anneleen De Schepper, Hendrik Van Maldeghem, Jeroen Schillewaert
Publication date: 31 May 2024
Published in: Combinatorica (Search for Journal in Brave)
embedding rankgenerating rankLie incidence geometryexceptional geometrieslong root subgroup geometry
Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Lie geometries in nonlinear incidence geometry (51B25)
Cites Work
- Title not available (Why is that?)
- Quadric Veronesean caps
- Simple connectedness of hyperplane complements in some geometries related to buildings
- Highest weight modules and polarized embeddings of shadow spaces
- Geometric hyperplanes of Lie incidence geometries
- Points and lines. Characterizing the classical geometries
- Sur la géométrie des R-espaces
- A characterization of some geometries of Lie type
- Root shadow spaces
- Generating symplectic and Hermitian dual polar spaces over arbitrary fields nonisomorphic to \(\mathbb F_{2}\)
- Locally cotriangular graphs
- The 27-dimensional module for \(E_ 6\). I
- Buildings of spherical type and finite BN-pairs
- On the geometry of the adjoint representation of a Chevalley group
- Spanning point-line geometries in buildings of spherical type
- On the generation of dual polar spaces of symplectic type over finite fields
- Generating long root subgroup geometries of classical groups over finite prime fields
- Frames and bases of Lie incidence geometries
- Split buildings of type \(\mathsf {F}_4\) in buildings of type \(\mathsf {E}_6\)
- An axiom system for metasymplectic spaces
- On the foundations of polar geometry
- The fifty-six-dimensional module for \(E_ 7\). I: A four form for \(E_ 7\)
- Classification of embeddings of the flag geometries of projective planes in finite projective spaces. I, II, III
- On the generation of some Lie-type geometries
- Root filtration spaces from Lie algebras and abstract root groups
- A note on embedding and generating dual polar spaces
- Point-line characterizations of Lie geometries
- Generation of Lie Incidence Geometries: A Survey
- UNIVERSAL PROJECTIVE EMBEDDINGS OF THE GRASSMANNIAN, HALF SPINOR, AND DUAL ORTHOGONAL GEOMETRIES
- On characterizing the long-root geometries
- Convex subspaces of Lie incidence geometries
- Buildings of exceptional type in buildings of type $\mathsf{E_7}$
- Some combinatorial and geometric constructions of spherical buildings
- Absolute embeddings of point-line geometries
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