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Results tagged with buildings
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user 12858
2
votes
Proof involving retractions onto apartments
This follows from the fact that retractions are type-preserving, because they are defined using type-preserving isomorphisms between apartments. (See the argument used in the proof of (3.16) in Suzuki …
- 6,614
9
votes
Spherical building of an exceptional group of Lie type
Spherical buildings of higher rank are completely determined by their rank $2$ residues, but perhaps that point of view is not explicit enough for your purposes. … There exist several more "geometric" characterizations of the exceptional buildings in the literature, notably by people like Arjeh Cohen and Bruce Cooperstein; see for instance Cohen and Cooperstein - …
- 12.9k
8
votes
Understanding how to construct Bruhat-Tits buildings for non-split groups by Galois descent
There is a forthcoming book "Descent in buildings" by Bernhard Mühlherr, Holger Petersson and Richard Weiss, which should appear soon (published by Princeton University Press). …
- 6,614
4
votes
What is a (generalized) BN-pair?
introduction (about 6 pages) which is really worth reading, containing a lot of information about the history of the different related concepts, and explaining how they are related with the theory of buildings …
- 6,614
5
votes
Any good reference for Tits Building?
Tits' original lecture notes from 1974 (Buildings of spherical type and finite BN-pairs, Lecture Notes in Mathematics, 386, Springer-Verlag) can still serve as a very good introduction to the subject. … Another excellent reference (and not as voluminous as Abramenko--Brown) is the pair of books by Richard Weiss: "The structure of spherical buildings" and "The structure of affine buildings" (both published …
- 6,614