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Descent in Buildings (AM-190), Volume I

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by Bernhard M?hlherr & Holger P. Petersson & Richard M. Weiss
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Descent in Buildings (AM-190), Volume I by Bernhard M?hlherr & Holger P. Petersson & Richard M. Weiss

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.

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Ebook Details
Pages: 352
Size: 10.3 MB
Publisher: Princeton University Press
Date published:   2015
ISBN: 9781400874019 (DRM-EPUB)

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This product is listed in the following categories:

Nonfiction > Mathematics > Geometry
Nonfiction > Mathematics > Geometry > Algebraic
Nonfiction > Mathematics > Combinatorics

These authors have products in the following categories:

Nonfiction > Mathematics > Algebra
Nonfiction > Mathematics > Geometry
Nonfiction > Mathematics > Geometry > Algebraic
Nonfiction > Mathematics > Combinatorics

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