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The Resource Lectures on buildings, Mark Ronan

Lectures on buildings, Mark Ronan

Label
Lectures on buildings
Title
Lectures on buildings
Statement of responsibility
Mark Ronan
Creator
Subject
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
Instantiates
Publication
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 -- Self-homotopy -- Exercises -- Buildings -- A definition of buildings -- Generalised m-gons - 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 an-1 (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 bn-pair -- The classification -- An application -- Exercises -- Twin buildings -- Twin buildings and kac-moody groups -- Twin trees -- Twin apartments -- An example: affine twin buildings -- Residues, rigidity, and proj -- 2-spherical twin buildings -- The moufang property and root group data -- Twin trees again -- Appendix 1: moufang polygons -- The m-function -- The natural labelling for a moufang plane -- The non-existence theorem -- Appendix 2: diagrams for moufang polygons -- Appendix 3: non-discrete 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
Publication
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 -- Self-homotopy -- Exercises -- Buildings -- A definition of buildings -- Generalised m-gons - 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 an-1 (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 bn-pair -- The classification -- An application -- Exercises -- Twin buildings -- Twin buildings and kac-moody groups -- Twin trees -- Twin apartments -- An example: affine twin buildings -- Residues, rigidity, and proj -- 2-spherical twin buildings -- The moufang property and root group data -- Twin trees again -- Appendix 1: moufang polygons -- The m-function -- The natural labelling for a moufang plane -- The non-existence theorem -- Appendix 2: diagrams for moufang polygons -- Appendix 3: non-discrete 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

Library Locations

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