Leseprobe
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The Structure of Affine Buildings. (AM-168)
Richard M. Weiss
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
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.
Kundenbewertungen
Coxeter group, Equivalence class, Bilinear form, Composition algebra, Euclidean space, Number theory, Division algebra, Complete metric space, Root system, Connected component (graph theory), Vector space, Tree structure, Addition, Topology, Valuation (algebra), Tree (data structure), Bounded set (topological vector space), Subring, Commutative property, Linear combination, Algebraic group, Subset, Existential quantification, Multiplicative inverse, Root datum, Substructure, Polygon, Additive group, Dynkin diagram, Discrete valuation, E8 (mathematics), Sphere, Quaternion, Big O notation, Coxeter–Dynkin diagram, Coordinate system, Subgroup, Bounded set, Jacques Tits, Quadratic form, Bijection, Theorem, Diameter, Dimension, Parameter, Dot product, Metric space, Euclidean geometry, Octonion, Uniform continuity, Automorphism, E6 (mathematics), Associative property, Calculation, Equipollence (geometry), Cardinality, Diagram (category theory), Cauchy sequence, Algebraic structure, E7 (mathematics), Permutation, Mathematical induction, Topology of uniform convergence, Equivalence relation, Permutation group, Fundamental domain, Infimum and supremum, Additive inverse, Pointwise, Corollary