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Descent in Buildings (Am-190) by Bernhard Mühlherr: New
US $199.41
ApproximatelyEUR 178.96
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New
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Item specifics
- Condition
- 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
- 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
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
Item description from the seller
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