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Descent in Buildings (Am-190) by Bernhard Mühlherr: New

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
Book Title
Descent in Buildings (Am-190)
Publication Date
2015-09-15
Pages
352
ISBN
9780691166902
Subject Area
Mathematics
Publication Name
Descent in Buildings (Am-190)
Publisher
Oxford University Press, Incorporated
Item Length
0.1 in
Subject
Group Theory, Geometry / General, Geometry / Algebraic
Publication Year
2015
Series
Annals of Mathematics Studies
Type
Textbook
Format
Hardcover
Language
English
Item Height
0.1 in
Author
Holger P. Petersson, Bernhard Mühlherr, Richard M. Weiss
Item Weight
22 Oz
Item Width
0.1 in
Number of Pages
352 Pages

About this product

Product Identifiers

Publisher
Oxford University Press, Incorporated
ISBN-10
0691166900
ISBN-13
9780691166902
eBay Product ID (ePID)
211202392

Product Key Features

Number of Pages
352 Pages
Language
English
Publication Name
Descent in Buildings (Am-190)
Subject
Group Theory, Geometry / General, Geometry / Algebraic
Publication Year
2015
Type
Textbook
Subject Area
Mathematics
Author
Holger P. Petersson, Bernhard Mühlherr, Richard M. Weiss
Series
Annals of Mathematics Studies
Format
Hardcover

Dimensions

Item Height
0.1 in
Item Weight
22 Oz
Item Length
0.1 in
Item Width
0.1 in

Additional Product Features

Intended Audience
College Audience
LCCN
2015-008618
Dewey Edition
23
Series Volume Number
190
Illustrated
Yes
Dewey Decimal
516/.13
Synopsis
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., 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 .
LC Classification Number
QA174.2.M84 2015

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