Descent in Buildings AM 190 is popular PDF and ePub book, written by Bernhard Mühlherr in 2015-09-22, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Descent in Buildings AM 190 can be Read Online from any device for your convenience.
Descent in Buildings AM 190 Book PDF Summary
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.
Detail Book of Descent in Buildings AM 190 PDF
- Author : Bernhard Mühlherr
- Release : 22 September 2015
- Publisher : Princeton University Press
- ISBN : 9780691166919
- Genre : Mathematics
- Total Page : 352 pages
- Language : English
- PDF File Size : 10,6 Mb
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