Lectures on buildings - Info and Reading Options

"Lectures on buildings" Table Of Contents:

• 1- Chamber systems and examples
• 2- Chamber systems
• 3- Two examples of buildings
• 4- Exercises
• 5- Coxeter complexes
• 6- Coxeter groups and complexes
• 7- Words and galleries
• 8- Reduced words and homotopy
• 9- Finite coxeter complexes
• 10- Self-homotopy
• 11- Exercises
• 12- Buildings
• 13- A definition of buildings
• 14- Generalised m-gons - the rank 2 case
• 15- Residues and apartments
• 16- Exercises
• 17- Local properties and coverings
• 18- Chamber systems of type m
• 19- Coverings and the fundamental group
• 20- The universal cover
• 21- Examples
• 22- Exercises
• 23- Bn - pairs
• 24- Tits systems and buildings
• 25- Parabolic subgroups
• 26- Exercises
• 27- Buildings of spherical type and root groups
• 28- Some basic lemmas
• 29- Root groups and the moufang property
• 30- Commutator relations
• 31- Moufang buildings - the general case
• 32- Exercises
• 33- A construction of buildings
• 34- Blueprints
• 35- Natural labellings of moufang buildings
• 36- Foundations
• 37- Exercises
• 38- The classification of spherical buildings
• 39- 1.a3 blueprints and foundations
• 40- Diagrams with single bonds
• 41- C3 foundations
• 42- Cn buildings for n > 4
• 43- Tits diagrams and f4 buildings
• 44- Finite buildings
• 45- Exercises
• 46- Affine buildings I
• 47- Affine coxeter complexes and sectors
• 48- The affine building an-1 (k,v)
• 49- The spherical building at infinity
• 50- The proof of (9.5)
• 51- Exercises
• 52- Affine buildings II
• 53- Apartment systems, trees and projective valuations
• 54- Trees associated to walls and panels at infinity
• 55- Root groups with a valuation
• 56- Construction of an affine bn-pair
• 57- The classification
• 58- An application
• 59- Exercises
• 60- Twin buildings
• 61- Twin buildings and kac-moody groups
• 62- Twin trees
• 63- Twin apartments
• 64- An example: affine twin buildings
• 65- Residues, rigidity, and proj
• 66- 2-spherical twin buildings
• 67- The moufang property and root group data
• 68- Twin trees again
• 69- Appendix 1: moufang polygons
• 70- The m-function
• 71- The natural labelling for a moufang plane
• 72- The non-existence theorem
• 73- Appendix 2: diagrams for moufang polygons
• 74- Appendix 3: non-discrete buildings
• 75- Appendix 4: topology and the steinberg representation
• 76- Appendix 5: finite coxeter groups
• 77- Appendix 6: finite buildings and groups of lie type.

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