The Resource Lectures on buildings, Mark Ronan
Lectures on buildings, Mark Ronan
Resource Information
The item Lectures on buildings, Mark Ronan represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Lectures on buildings, Mark Ronan represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Language
 eng
 Edition
 Updated and rev.
 Extent
 xii, 228 pages
 Contents

 Chamber systems and examples
 Buildings and the origin of chamber systems
 Chamber systems
 Two examples of buildings
 Exercises
 Coxeter complexes
 Coxeter groups and complexes
 Words and galleries
 Reduced words and homotopy
 Finite coxeter complexes
 Selfhomotopy
 Exercises
 Buildings
 A definition of buildings
 Generalised mgons  the rank 2 case
 Residues and apartments
 Exercises
 Local properties and coverings
 Chamber systems of type m
 Coverings and the fundamental group
 The universal cover
 Examples
 Exercises
 Bn  pairs
 Tits systems and buildings
 Parabolic subgroups
 Exercises
 Buildings of spherical type and root groups
 Some basic lemmas
 Root groups and the moufang property
 Commutator relations
 Moufang buildings  the general case
 Exercises
 A construction of buildings
 Blueprints
 Natural labellings of moufang buildings
 Foundations
 Exercises
 The classification of spherical buildings
 A3 blueprints and foundations
 Diagrams with single bonds
 C3 foundations
 Cn buildings for n > 4
 Tits diagrams and f4 buildings
 Finite buildings
 Exercises
 Affine buildings I
 Affine coxeter complexes and sectors
 The affine building an1 (k,v)
 The spherical building at infinity
 The proof of (9.5)
 Exercises
 Affine buildings II
 Apartment systems, trees and projective valuations
 Trees associated to walls and panels at infinity
 Root groups with a valuation
 Construction of an affine bnpair
 The classification
 An application
 Exercises
 Twin buildings
 Twin buildings and kacmoody groups
 Twin trees
 Twin apartments
 An example: affine twin buildings
 Residues, rigidity, and proj
 2spherical twin buildings
 The moufang property and root group data
 Twin trees again
 Appendix 1: moufang polygons
 The mfunction
 The natural labelling for a moufang plane
 The nonexistence theorem
 Appendix 2: diagrams for moufang polygons
 Appendix 3: nondiscrete buildings
 Appendix 4: topology and the steinberg representation
 Appendix 5: finite coxeter groups
 Appendix 6: finite buildings and groups of lie type
 Isbn
 9780226724997
 Label
 Lectures on buildings
 Title
 Lectures on buildings
 Statement of responsibility
 Mark Ronan
 Language
 eng
 Cataloging source
 ICU/DLC
 http://library.link/vocab/creatorName
 Ronan, Mark
 Dewey number
 512/.2
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA179
 LC item number
 .R64 2009
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/subjectName

 Buildings (Group theory)
 Finite geometries
 Finite groups
 Label
 Lectures on buildings, Mark Ronan
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code
 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Chamber systems and examples  Buildings and the origin of chamber systems  Chamber systems  Two examples of buildings  Exercises  Coxeter complexes  Coxeter groups and complexes  Words and galleries  Reduced words and homotopy  Finite coxeter complexes  Selfhomotopy  Exercises  Buildings  A definition of buildings  Generalised mgons  the rank 2 case  Residues and apartments  Exercises  Local properties and coverings  Chamber systems of type m  Coverings and the fundamental group  The universal cover  Examples  Exercises  Bn  pairs  Tits systems and buildings  Parabolic subgroups  Exercises  Buildings of spherical type and root groups  Some basic lemmas  Root groups and the moufang property  Commutator relations  Moufang buildings  the general case  Exercises  A construction of buildings  Blueprints  Natural labellings of moufang buildings  Foundations  Exercises  The classification of spherical buildings  A3 blueprints and foundations  Diagrams with single bonds  C3 foundations  Cn buildings for n > 4  Tits diagrams and f4 buildings  Finite buildings  Exercises  Affine buildings I  Affine coxeter complexes and sectors  The affine building an1 (k,v)  The spherical building at infinity  The proof of (9.5)  Exercises  Affine buildings II  Apartment systems, trees and projective valuations  Trees associated to walls and panels at infinity  Root groups with a valuation  Construction of an affine bnpair  The classification  An application  Exercises  Twin buildings  Twin buildings and kacmoody groups  Twin trees  Twin apartments  An example: affine twin buildings  Residues, rigidity, and proj  2spherical twin buildings  The moufang property and root group data  Twin trees again  Appendix 1: moufang polygons  The mfunction  The natural labelling for a moufang plane  The nonexistence theorem  Appendix 2: diagrams for moufang polygons  Appendix 3: nondiscrete buildings  Appendix 4: topology and the steinberg representation  Appendix 5: finite coxeter groups  Appendix 6: finite buildings and groups of lie type
 Control code
 294885250
 Dimensions
 23 cm
 Edition
 Updated and rev.
 Extent
 xii, 228 pages
 Isbn
 9780226724997
 Isbn Type
 (pbk. : alk. paper)
 Lccn
 2009009149
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code
 n
 Other physical details
 illustrations
 System control number
 (OCoLC)294885250
 Label
 Lectures on buildings, Mark Ronan
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code
 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Chamber systems and examples  Buildings and the origin of chamber systems  Chamber systems  Two examples of buildings  Exercises  Coxeter complexes  Coxeter groups and complexes  Words and galleries  Reduced words and homotopy  Finite coxeter complexes  Selfhomotopy  Exercises  Buildings  A definition of buildings  Generalised mgons  the rank 2 case  Residues and apartments  Exercises  Local properties and coverings  Chamber systems of type m  Coverings and the fundamental group  The universal cover  Examples  Exercises  Bn  pairs  Tits systems and buildings  Parabolic subgroups  Exercises  Buildings of spherical type and root groups  Some basic lemmas  Root groups and the moufang property  Commutator relations  Moufang buildings  the general case  Exercises  A construction of buildings  Blueprints  Natural labellings of moufang buildings  Foundations  Exercises  The classification of spherical buildings  A3 blueprints and foundations  Diagrams with single bonds  C3 foundations  Cn buildings for n > 4  Tits diagrams and f4 buildings  Finite buildings  Exercises  Affine buildings I  Affine coxeter complexes and sectors  The affine building an1 (k,v)  The spherical building at infinity  The proof of (9.5)  Exercises  Affine buildings II  Apartment systems, trees and projective valuations  Trees associated to walls and panels at infinity  Root groups with a valuation  Construction of an affine bnpair  The classification  An application  Exercises  Twin buildings  Twin buildings and kacmoody groups  Twin trees  Twin apartments  An example: affine twin buildings  Residues, rigidity, and proj  2spherical twin buildings  The moufang property and root group data  Twin trees again  Appendix 1: moufang polygons  The mfunction  The natural labelling for a moufang plane  The nonexistence theorem  Appendix 2: diagrams for moufang polygons  Appendix 3: nondiscrete buildings  Appendix 4: topology and the steinberg representation  Appendix 5: finite coxeter groups  Appendix 6: finite buildings and groups of lie type
 Control code
 294885250
 Dimensions
 23 cm
 Edition
 Updated and rev.
 Extent
 xii, 228 pages
 Isbn
 9780226724997
 Isbn Type
 (pbk. : alk. paper)
 Lccn
 2009009149
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code
 n
 Other physical details
 illustrations
 System control number
 (OCoLC)294885250
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