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Coxeter Matroids, Alexandre V. Borovik; A. Borovik; Israel M. Gelfan


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Автор: Alexandre V. Borovik; A. Borovik; Israel M. Gelfan
Название:  Coxeter Matroids
ISBN: 9781461274001
Издательство: Springer
Классификация: ISBN-10: 1461274001
Обложка/Формат: Paperback
Страницы: 266
Вес: 0.41 кг.
Дата издания: 16.09.2011
Серия: Progress in Mathematics
Язык: English
Размер: 234 x 156 x 16
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry. This largely self-contained work provides an intuitive and interdisciplinary treatment of Coxeter matroids, a new and beautiful generalization of matroids which is based on a finite Coxeter group.

Key topics and features:

* Systematic, clearly written exposition with ample references to current research

* Matroids are examined in terms of symmetric and finite reflection groups

* Finite reflection groups and Coxeter groups are developed from scratch

* The Gelfand-Serganova Theorem is presented, allowing for a geometric interpretation of matroids and Coxeter matroids as convex polytopes with certain symmetry properties

* Matroid representations and combinatorial flag varieties are studied in the final chapter

* Many exercises throughout

* Excellent bibliography and index

Accessible to graduate students and research mathematicians alike, Coxeter Matroids can be used as an introductory survey, a graduate course text, or a reference volume.




Computational Oriented Matroids

Автор: Juergen G. Bokowski
Название: Computational Oriented Matroids
ISBN: 0521849306 ISBN-13(EAN): 9780521849302
Издательство: Cambridge Academ
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Цена: 11722.00 р.
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Описание: The combination of concrete applications and computation, the profusion of illustations, and the large number of examples and exercises will make this an ideal introductory text on the subject.. It will also be valuable for self-study for mathematicians and computer scientists working in discrete and computational geometry.

Introduction to the Theory of Matroids

Автор: R. v. Randow
Название: Introduction to the Theory of Matroids
ISBN: 3540071776 ISBN-13(EAN): 9783540071778
Издательство: Springer
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Цена: 12157.00 р.
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Описание: Matroid theory has its origin in a paper by H. Tutte [30] developed the funda- mentals of matroids in detail from a graph-theoretic point of view, and characterised graphic matroids as well as the larger class of those matroids that are representable over any field.

Notes on Coxeter Transformations and the McKay Correspondence

Автор: Rafael Stekolshchik
Название: Notes on Coxeter Transformations and the McKay Correspondence
ISBN: 3642096042 ISBN-13(EAN): 9783642096044
Издательство: Springer
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Цена: 14673.00 р.
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Описание: Here is a key text on the subject of representation theory in finite groups. The pages of this excellent little book, prepared by Rafael Stekolshchik, contain a number of new proofs relating to Coxeter Transformations and the McKay Correspondence. Ponomarev, as well as material from Coxeter and McKay themselves.

Matrices and Matroids for Systems Analysis

Автор: Kazuo Murota
Название: Matrices and Matroids for Systems Analysis
ISBN: 3540660240 ISBN-13(EAN): 9783540660248
Издательство: Springer
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Цена: 25848.00 р.
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Описание: This is an introduction to matroid theory, emphasizing motivations from matrix theory and applications to systems analysis. It serves also as a presentation of the theory and application of mixed matrices, developed primarily by the author in the 1990s.

Boolean Representations of Simplicial Complexes and Matroids

Автор: John Rhodes; Pedro V. Silva
Название: Boolean Representations of Simplicial Complexes and Matroids
ISBN: 3319383671 ISBN-13(EAN): 9783319383675
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This self-contained monograph explores a new theory centered around boolean representations of simplicial complexes leading to a new class of complexes featuring matroids as central to the theory.

Oriented matroids

Автор: Bjorner, Anders Vergnas, Michel Las (laboratoire D
Название: Oriented matroids
ISBN: 052177750X ISBN-13(EAN): 9780521777506
Издательство: Cambridge Academ
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Цена: 15365.00 р.
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Описание: This is the second edition of the first comprehensive, accessible account of oriented matroids. For the second edition, the authors have expanded the bibliography greatly to ensure that it remains comprehensive and up-to-date, and they have also added an appendix surveying research since the work was first published.

Systems Analysis by Graphs and Matroids

Автор: Kazuo Murota
Название: Systems Analysis by Graphs and Matroids
ISBN: 3540176594 ISBN-13(EAN): 9783540176596
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Recent technology involves large-scale physical or engineering systems consisting of thousands of interconnected elementary units. The structural solvability of a system of linear or nonlinear equations as well as the structural controllability of a linear time-invariant dynamical system are treated by means of graphs and matroids.

Matrices and Matroids for Systems Analysis

Автор: Kazuo Murota
Название: Matrices and Matroids for Systems Analysis
ISBN: 3642039936 ISBN-13(EAN): 9783642039935
Издательство: Springer
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Цена: 23058.00 р.
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Описание: This book offers a unique introduction to matroid theory, emphasizing motivations from matrix theory and applications to systems analysis. It serves also as a comprehensive presentation of the theory and application of mixed matrices.

The Fifty-Nine Icosahedra

Автор: H. S. M. Coxeter; P. DuVal; P. DuVal; H. T. Flathe
Название: The Fifty-Nine Icosahedra
ISBN: 038790770X ISBN-13(EAN): 9780387907703
Издательство: Springer
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Цена: 11179.00 р.
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Описание: Petrie`s part in the book consisted in the extremely difficult drawings which consti- tute the left half of each of the plates (the much simpler ones on the right being mine).

Groups of Exceptional Type, Coxeter Groups and Related Geometries

Автор: N.S. Narasimha Sastry
Название: Groups of Exceptional Type, Coxeter Groups and Related Geometries
ISBN: 8132218132 ISBN-13(EAN): 9788132218135
Издательство: Springer
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Цена: 23757.00 р.
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Описание: The book deals with fundamental structural aspects of algebraic and simple groups, Coxeter groups and the related geometries and buildings.

Groups of Exceptional Type, Coxeter Groups and Related Geometries

Автор: N.S. Narasimha Sastry
Название: Groups of Exceptional Type, Coxeter Groups and Related Geometries
ISBN: 8132235347 ISBN-13(EAN): 9788132235347
Издательство: Springer
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Цена: 16769.00 р.
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Описание: The book deals with fundamental structural aspects of algebraic and simple groups, Coxeter groups and the related geometries and buildings.

Adex Theory: How The Ade Coxeter Graphs Unify Mathematics And Physics

Автор: Sirag Saul-Paul
Название: Adex Theory: How The Ade Coxeter Graphs Unify Mathematics And Physics
ISBN: 9814656496 ISBN-13(EAN): 9789814656498
Издательство: World Scientific Publishing
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Цена: 15048.00 р.
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Описание: This book shows how the ADE Coxeter graphs unify at least 20 different types of mathematical structures. These mathematical structures are of great utility in unified field theory, string theory, and other areas of physics.


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