{"product_id":"9781400874019","title":"Descent in Buildings (AM-190), Volume I","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\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.\u003c\/p\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":47151788163312,"sku":"9781400874019","price":75.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781400874019_p0.jpg?v=1763713061","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781400874019","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}