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Annals of Mathematics Studies: Descent in Buildings by Holger P. Petersson, Bernhard Mühlherr and Richard M. Weiss (2015, Trade Paperback)

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About this product

Product Identifiers

PublisherPrinceton University Press

ISBN-100691166919

ISBN-139780691166919

eBay Product ID (ePID)220016173

Product Key Features

Number of Pages352 Pages

LanguageEnglish

Publication NameDescent in Buildings

Publication Year2015

SubjectGroup Theory, Geometry / General, Geometry / Algebraic

TypeTextbook

Subject AreaMathematics

AuthorHolger P. Petersson, Bernhard Mühlherr, Richard M. Weiss

SeriesAnnals of Mathematics Studies

FormatTrade Paperback

Dimensions

Item Height0.9 in

Item Weight17.6 Oz

Item Length9.2 in

Item Width6.1 in

Additional Product Features

Intended AudienceCollege Audience

LCCN2015-008618

Dewey Edition23

Series Volume Number190

IllustratedYes

Dewey Decimal516/.13

SynopsisDescent 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 .

LC Classification NumberQA174.2.M84 2015