By Bernhard Mühlherr,Holger P. Petersson,Richard M. Weiss
Descent in Buildings starts off with the answer of a huge open query concerning the neighborhood constitution of Bruhat-Tits constructions. The authors then positioned their algebraic resolution right into a geometric context through constructing a normal fastened element thought for teams performing on structures of arbitrary variety, giving invaluable and adequate stipulations for the residues fastened via a gaggle to shape a type of subbuilding or "form" of the unique construction. on the heart of this conception is the thought of a knockers index, a combinatorial model of the thought of an index within the relative concept of algebraic teams. those effects are mixed on the finish to teach that each unprecedented Bruhat-Tits development arises as a kind of a "residually pseudo-split" Bruhat-Tits construction. The ebook concludes with a reveal of the knockers indices linked to every one of those unparalleled forms.
This is the 3rd and ultimate quantity of a trilogy that all started with Richard Weiss' The constitution of round Buildings and The constitution of Affine Buildings.
Read or Download Descent in Buildings (AM-190), Volume I (Annals of Mathematics Studies) PDF
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Extra resources for Descent in Buildings (AM-190), Volume I (Annals of Mathematics Studies)
Descent in Buildings (AM-190), Volume I (Annals of Mathematics Studies) by Bernhard Mühlherr,Holger P. Petersson,Richard M. Weiss