Descent in Buildings (AM-190) (Hardcover)

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.

General

Imprint:	Princeton University Press
Country of origin:	United States
Series:	Annals of Mathematics Studies
Release date:	September 2015
First published:	2016
Authors:	Bernhard Muhlherr • Holger P Petersson • Richard M. Weiss
Dimensions:	235 x 152 x 27mm (L x W x T)
Format:	Hardcover - Trade binding
Pages:	352
ISBN-13:	978-0-691-16690-2
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic Promotions
LSN:	0-691-16690-0
Barcode:	9780691166902

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