Tits Polygons, Bernhard Muhlherr, Richard M. Weiss

Автор: Jacques Tits; Richard M. Weiss
Название: Moufang Polygons
ISBN: 3642078338 ISBN-13(EAN): 9783642078330
Издательство: Springer
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Описание: Spherical buildings are certain combinatorial simplicial complexes intro- duced, at first in the language of "incidence geometries," to provide a sys- tematic geometric interpretation of the exceptional complex Lie groups. (The definition of a building in terms of chamber systems and definitions of the various related notions used in this introduction such as "thick," "residue," "rank," "spherical," etc. are given in Chapter 39. ) Via the notion of a BN-pair, the theory turned out to apply to simple algebraic groups over an arbitrary field. More precisely, to any absolutely simple algebraic group of positive rela- tive rank is associated a thick irreducible spherical building of the same rank (these are the algebraic spherical buildings) and the main result of Buildings of Spherical Type and Finite BN-Pairs 101] is that the converse, for:::: 3, is almost true: (1. 1) Theorem. Every thick irreducible spherical building of rank at least three is classical, algebraic' or mixed. Classical buildings are those defined in terms of the geometry of a classical group (e. g. unitary, orthogonal, etc. of finite Witt index or linear of finite dimension) over an arbitrary field or skew-field. (These are not algebraic if, for instance, the skew-field is of infinite dimension over its center. ) Mixed buildings are more exotic; they are related to groups which are in some sense algebraic groups defined over a pair of fields k and K of characteristic p, where KP eke K and p is two or (in one case) three.

Автор: Akiyama Jin, Matsunaga Kiyoko
Название: Treks Into Intuitive Geometry: The World of Polygons and Polyhedra
ISBN: 4431567097 ISBN-13(EAN): 9784431567097
Издательство: Springer
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Цена: 8384.00 р.
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Описание: This book is written in a style that uncovers the mathematical theories buried in our everyday lives such as examples from patterns that appear in nature, art, and traditional crafts, and in mathematical mechanisms in techniques used by architects.

Автор: Hendrik,van Maldeghem
Название: Generalized Polygons
ISBN: 3034897898 ISBN-13(EAN): 9783034897891
Издательство: Springer
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Цена: 11179.00 р.
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Описание: They are the prototypes and precursors of more general geometries such as partial geometries, partial quadrangles, semi-partial ge- ometries, near polygons, Moore geometries, etc. The main examples of generalized polygons are the natural geometries associated with groups of Lie type of relative rank 2.

Автор: Botsch
Название: Polygon Mesh Processing
ISBN: 1568814267 ISBN-13(EAN): 9781568814261
Издательство: Taylor&Francis
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Цена: 10104.00 р.
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Описание: Describes the geometry processing pipeline based on polygonal meshes. This book introduces the fundamental concepts and discusses advanced techniques.

Автор: Erasmus Landvogt
Название: A Compactification of the Bruhat-Tits Building
ISBN: 3540604278 ISBN-13(EAN): 9783540604273
Издательство: Springer
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Цена: 4890.00 р.
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Описание: The aim of this work is the definition of the polyhedral compactification of the Bruhat-Tits building of a reductive group over a local field. In addition, an explicit description of the boundary is given and the construction of the Bruhat-Tits building itself is provided.

Автор: Andreescu Titu
Название: Quadratic Diophantine Equations
ISBN: 1493938800 ISBN-13(EAN): 9781493938803
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book reveiws the last two decades of computational techniques and progress in the classical theory of quadratic diophantine equations. Presents important quadratic diophantine equations and applications, and includes excellent examples and open problems.

Автор: Andreescu Titu
Название: Complex Numbers from A to Z
ISBN: 081768414X ISBN-13(EAN): 9780817684143
Издательство: Springer
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Цена: 7685.00 р.
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Описание: Complex Numbers from A to ... Z