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The Thick Frame of a Weak Twin Building
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Pierre-Emmanuel Caprace
Published/Copyright:
July 27, 2005
Abstract
We prove the following extension to twin buildings of a result for spherical buildings which appears in [11]: to every weak twin building ∆, there is canonically associated a thick twin building ∆̄ whose Weyl group W (∆̄) can be considered as a reflection subgroup of the Weyl group W(∆) of ∆; conversely, it is possible to recover ∆ from the thick twin building ∆̄ and from the inclusion W(∆̄), ↪ W(∆).
Key words: Twin building; weak building
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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
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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
