Coxeter Matroids: 216 (Progress in Mathematics, 216) - Tapa dura

Libro 43 de 169: Progress in Mathematics

Borovik, Alexandre V.; Gelfand, Izrail M.

 
9780817637644: Coxeter Matroids: 216 (Progress in Mathematics, 216)
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ISBN 10: 0817637648 ISBN 13: 9780817637644
Editorial: Birkhäuser, 2003

Sinopsis

Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry, and "Coxeter Matroids" provides an intuitive and interdisciplinary treatment of their theory.  In this text, matroids are examined in terms of symmetric and finite reflection groups; also, symplectic matroids and the more general coxeter matroids are carefully developed. The Gelfand-Serganova theorem, which allows for the geometric interpretation of matroids as convex polytopes with certain symmetry properties, is presented, and in the final chapter, matroid representations and combinatorial flag varieties are discussed. With its excellent bibliography and index and ample references to current research, this work will be useful for graduate students and research mathematicians.

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De la contraportada

Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry. This largely self-contained text 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 in buildings 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.

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Editorial
Birkhäuser
Año de publicación
2003
Idioma
Inglés
ISBN 10 
0817637648
ISBN 13 
9780817637644
Encuadernación
Tapa dura
Ilustrador
Borovik A.
Número de páginas
294
Contacto del fabricante
Springer-Verlag GmbH
customerservice@springernature.com

Tiergartenstraße 17
Heidelberg
Baden-Württemberg
69121
Alemania

Otras ediciones populares con el mismo título

9781461274001: Coxeter Matroids: 216 (Progress in Mathematics)

Edición Destacada

ISBN 10:  1461274001 ISBN 13:  9781461274001
Editorial: Birkhäuser, 2011
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