Delivery included to the United States

Descent in Buildings

Descent in Buildings - Annals of Mathematics Studies

Hardback (02 Oct 2015)

Not available for sale

Out of stock

This service is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Publisher's Synopsis

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.

About the Publisher

Princeton University Press

We seek to publish the innovative works of the greatest minds in academia, from the most respected senior scholar to the extraordinarily promising graduate student, in each of the disciplines in which we publish. The Press consciously acquires a collection of titles--a coherent "list" of books--in each discipline, providing focus, continuity, and a basis for the development of future publications.

Book information

ISBN: 9780691166902
Publisher: Princeton University Press
Imprint: Princeton University Press
Pub date:
DEWEY: 516.13
DEWEY edition: 23
Language: English
Number of pages: 352
Weight: 634g
Height: 244mm
Width: 163mm
Spine width: 27mm