Structure of Affine Buildings (eBook)

Richard M. Weiss (Autor)

eBook Download: PDF

2008
384 Seiten
Princeton University Press (Verlag)
978-1-4008-2905-7 (ISBN)

Infos

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.

Autor

Richard M. Weiss is the William Walker Professor of Mathematics at Tufts University and Honorary Professor in the School of Mathematics and Statistics at the University of Birmingham in the United Kingdom. He is the author of The Structure of Spherical Buildings and Quadrangular Algebras (both Princeton) and the coauthor withJacques Tits of Moufang Polygons. He received a Humboldt Research Prize in 2004.

Produkt-Details

• Reihe/Serie: Annals of Mathematics Studies
• Reihe/Serie: Annals of Mathematics Studies
• Zusatzinfo: 8 line illus. 8 tables.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Graphentheorie
• Themenwelt: Technik
• Schlagworte: Addition • Additive group • Additive inverse • algebraic group • Algebraic Structure • Ambient space • associative property • automorphism • Big O notation • bijection • bilinear form • Bounded set • Bounded set (topological vector space) • Calculation • Cardinality • Cauchy Sequence • commutative property • complete graph • complete metric space • Composition algebra • Connected component (graph theory) • consistency • continuous function • coordinate system • corollary • Coxeter–Dynkin diagram • Coxeter Group • Diagram (category theory) • DIAMETER • Dimension • discrete valuation • division algebra • dot product • Dynkin diagram • E6 (mathematics) • E7 (mathematics) • E8 (mathematics) • empty set • Equipollence (geometry) • equivalence class • equivalence relation • Euclidean Geometry • Euclidean space • existential quantification • Free monoid • Fundamental domain • hyperplane • Infimum and supremum • Jacques Tits • K0 • Linear combination • Mathematical Induction • Metric Space • Multiple edges • Multiplicative Inverse • Number Theory • octonion • Parameter • Permutation • permutation group • Pointwise • Polygon • Projective line • quadratic form • quaternion • remainder • Root datum • root system • scientific notation • Sphere • SUBGROUP • Subring • Subset • Substructure • Theorem • Topology • Topology of uniform convergence • torus • Tree (data structure) • tree structure • two-dimensional space • uniform continuity • Valuation (algebra) • Vector Space • Without loss of generality
• ISBN-10: 1-4008-2905-4 / 1400829054
• ISBN-13: 978-1-4008-2905-7 / 9781400829057