The structure of affine buildings

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 als...

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Bibliographic Details
Main Author:	Weiss, Richard M. (Richard Mark), 1946-
Format:	Electronic eBook
Published:	Princeton, N.J. : Princeton University Press, ©2009.
Subjects:	Buildings (Group theory) Moufang loops. Automorphisms. Affine algebraic groups. MATHEMATICS > Group Theory. Affine algebraic groups Automorphisms Moufang loops Affines Gebäude Bruhat-Tits-Gebäude Moufang-Loop Addition. Additive group. Additive inverse. Algebraic group. Algebraic structure. Ambient space. Associative property. Automorphism. Big O notation. Bijection. Bilinear form. Bounded set (topological vector space). Bounded set. Calculation. Cardinality. Cauchy sequence. Commutative property. Complete graph. Complete metric space. Composition algebra. Connected component (graph theory). Consistency. Continuous function. Coordinate system. Corollary. Coxeter group. Coxeter-Dynkin diagram. 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 group. Permutation. Pointwise. Polygon. Projective line. Quadratic form. Quaternion. Remainder. Root datum. Root system. Scientific notation. Sphere. Subgroup. Subring. Subset. Substructure. Theorem. Topology of uniform convergence. Topology. Torus. Tree (data structure). Tree structure. Two-dimensional space. Uniform continuity. Valuation (algebra). Vector space. Without loss of generality.

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