Descent in Buildings (Am-190)

By Bernhard Matthias Meuhlherr, Bernhard Muhlherr, Holger P Petersson, et al.

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 0691166919
• ISBN13: 9780691166919
• Release Date: September 2015
• Publisher: Princeton University Press
• Length: 352 Pages
• Weight: 0.95 lbs.
• Dimensions: 0.9" x 5.9" x 9.2"