{"product_id":"descent-in-buildings-am-190-bernhard-mzhlherr-9780691166902","title":"Descent in Buildings (Am-190)","description":"\u003cp\u003e\u003ci\u003eDescent in Buildings\u003c\/i\u003e 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. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eThis is the third and final volume of a trilogy that began with Richard Weiss' \u003ci\u003eThe Structure of Spherical Buildings\u003c\/i\u003e and \u003ci\u003eThe Structure of Affine Buildings\u003c\/i\u003e.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Bernhard Mühlherr,Holger P. Petersson,Richard M. Weiss\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0691166900\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780691166902\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/15\/2015\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 352\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.40lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.30h x 5.70w x 1.10d","brand":"Bernhard Mühlherr","offers":[{"title":"Hardcover","offer_id":48065040711935,"sku":"9780691166902","price":205.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_f6533d09-7b83-4652-9e07-ed807442b671.jpg?v=1768672746","url":"https:\/\/www.whiterainbookhouse.com\/products\/descent-in-buildings-am-190-bernhard-mzhlherr-9780691166902","provider":"WR Book House","version":"1.0","type":"link"}