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Spherical Building And Moufang Polygons


Spherical Building And Moufang Polygons
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Spherical Building And Moufang Polygons


Spherical Building And Moufang Polygons
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Author : Andrea Villa
language : it
Publisher:
Release Date : 2009

Spherical Building And Moufang Polygons written by Andrea Villa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.




The Structure Of Spherical Buildings


The Structure Of Spherical Buildings
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Author : Richard M. Weiss
language : en
Publisher: Princeton University Press
Release Date : 2003

The Structure Of Spherical Buildings written by Richard M. Weiss and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Business & Economics categories.


This book provides a clear and authoritative introduction to the theory of buildings, a topic of central importance to mathematicians interested in the geometric aspects of group theory. Its detailed presentation makes it suitable for graduate students as well as specialists. Richard Weiss begins with an introduction to Coxeter groups and goes on to present basic properties of arbitrary buildings before specializing to the spherical case. Buildings are described throughout in the language of graph theory. The Structure of Spherical Buildings includes a reworking of the proof of Jacques Tits's Theorem 4.1.2. upon which Tits's classification of thick irreducible spherical buildings of rank at least three is based. In fact, this is the first book to include a proof of this famous result since its original publication. Theorem 4.1.2 is followed by a systematic study of the structure of spherical buildings and their automorphism groups based on the Moufang property. Moufang buildings of rank two were recently classified by Tits and Weiss. The last chapter provides an overview of the classification of spherical buildings, one that reflects these and other important developments.



Moufang Polygons


Moufang Polygons
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Author : Jacques Tits
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-09-12

Moufang Polygons written by Jacques Tits and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-12 with Mathematics categories.


This book gives the complete classification of Moufang polygons, starting from first principles. In particular, it may serve as an introduction to the various important algebraic concepts which arise in this classification including alternative division rings, quadratic Jordan division algebras of degree three, pseudo-quadratic forms, BN-pairs and norm splittings of quadratic forms. This book also contains a new proof of the classification of irreducible spherical buildings of rank at least three based on the observation that all the irreducible rank two residues of such a building are Moufang polygons. In an appendix, the connection between spherical buildings and algebraic groups is recalled.



Moufang Polygons


Moufang Polygons
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Author : Jacques Tits
language : en
Publisher:
Release Date : 2014-01-15

Moufang Polygons written by Jacques Tits and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Buildings Of Spherical Type And Finite Bn Pairs


Buildings Of Spherical Type And Finite Bn Pairs
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Author : J. Tits
language : en
Publisher:
Release Date : 2014-01-15

Buildings Of Spherical Type And Finite Bn Pairs written by J. Tits and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Moufang Polygons


Moufang Polygons
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Author : Jacques Tits
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Moufang Polygons written by Jacques Tits and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.


This book gives the complete classification of Moufang polygons, starting from first principles. In particular, it may serve as an introduction to the various important algebraic concepts which arise in this classification including alternative division rings, quadratic Jordan division algebras of degree three, pseudo-quadratic forms, BN-pairs and norm splittings of quadratic forms. This book also contains a new proof of the classification of irreducible spherical buildings of rank at least three based on the observation that all the irreducible rank two residues of such a building are Moufang polygons. In an appendix, the connection between spherical buildings and algebraic groups is recalled.



The Structure Of Affine Buildings Am 168


The Structure Of Affine Buildings Am 168
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Author : Richard M. Weiss
language : en
Publisher: Princeton University Press
Release Date : 2008-09-08

The Structure Of Affine Buildings Am 168 written by Richard M. Weiss and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-08 with Mathematics categories.


In The Structure of Affine Buildings, Richard Weiss gives a detailed presentation of the complete proof of the classification of Bruhat-Tits buildings first completed by Jacques Tits in 1986. The book includes numerous results about automorphisms, completions, and residues of these buildings. It also includes tables correlating the results in the locally finite case with the results of Tits's classification of absolutely simple algebraic groups defined over a local field. A companion to Weiss's The Structure of Spherical Buildings, The Structure of Affine Buildings is organized around the classification of spherical buildings and their root data as it is carried out in Tits and Weiss's Moufang Polygons.



Lectures On Buildings


Lectures On Buildings
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Author : Mark Ronan
language : en
Publisher:
Release Date : 1989

Lectures On Buildings written by Mark Ronan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.




The Structure Of Spherical Buildings


The Structure Of Spherical Buildings
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Author : Richard M. Weiss
language : en
Publisher: Princeton University Press
Release Date : 2020-07-21

The Structure Of Spherical Buildings written by Richard M. Weiss and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-21 with Business & Economics categories.


This book provides a clear and authoritative introduction to the theory of buildings, a topic of central importance to mathematicians interested in the geometric aspects of group theory. Its detailed presentation makes it suitable for graduate students as well as specialists. Richard Weiss begins with an introduction to Coxeter groups and goes on to present basic properties of arbitrary buildings before specializing to the spherical case. Buildings are described throughout in the language of graph theory. The Structure of Spherical Buildings includes a reworking of the proof of Jacques Tits's Theorem 4.1.2. upon which Tits's classification of thick irreducible spherical buildings of rank at least three is based. In fact, this is the first book to include a proof of this famous result since its original publication. Theorem 4.1.2 is followed by a systematic study of the structure of spherical buildings and their automorphism groups based on the Moufang property. Moufang buildings of rank two were recently classified by Tits and Weiss. The last chapter provides an overview of the classification of spherical buildings, one that reflects these and other important developments.



Tits Buildings And The Model Theory Of Groups


Tits Buildings And The Model Theory Of Groups
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Author : Katrin Tent
language : en
Publisher: Cambridge University Press
Release Date : 2002-01-03

Tits Buildings And The Model Theory Of Groups written by Katrin Tent and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-03 with Mathematics categories.


Introduction to buildings and their geometries with emphasis on model theoretic constructions, covering recent developments.