{ "item_title" : "Descent in Buildings (Am-190)", "item_author" : [" Bernhard Mühlherr", "Holger P. Petersson", "Richard M. Weiss "], "item_description" : "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.", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/0/69/116/691/0691166919_b.jpg", "price_data" : { "retail_price" : "98.00", "online_price" : "98.00", "our_price" : "98.00", "club_price" : "98.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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