Format:
1 Online-Ressource
,
illustrations
ISBN:
9781400874019
,
9780691166919
Series Statement:
Annals of Mathematics Studies number 190
Content:
Descent in Buildings begins with the resolution of a major open question about the local structure of Bruhat-Tits buildings. The authors then put their algebraic solution into a geometric context by developing a general fixed point theory for groups acting on buildings of arbitrary type, giving necessary and sufficient conditions for the residues fixed by a group to form a kind of subbuilding or "form" of the original building. At the center of this theory is the notion of a Tits index, a combinatorial version of the notion of an index in the relative theory of algebraic groups. These results are combined at the end to show that every exceptional Bruhat-Tits building arises as a form of a "residually pseudo-split" Bruhat-Tits building. The book concludes with a display of the Tits indices associated with each of these exceptional forms.This is the third and final volume of a trilogy that began with Richard Weiss The Structure of Spherical Buildings and The Structure of Affine Buildings
Note:
Description based on online resource; title from PDF title page (publishers Web site, viewed September 10 2015)
,
In English
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 978-0-691-16691-9
Language:
English
Subjects:
Mathematics
Keywords:
Gebäude
DOI:
10.1515/9781400874019
URL:
Volltext
(URL des Erstveröffentlichers)
Author information:
Weiss, Richard M. 1946-
Author information:
Petersson, Holger 1939-
