Coxeter Matroids

I.M. Gelfand, Neil White, Alexandre Borovik

266 pages, parution le 07/08/2003

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Résumé

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 Hag 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.

Preface
Matroids and flag matroids
Matroids and semimodular lattices
Symplectic matroids
Lagrangian Matroids
Reflexion groups and Coxeter groups
Coxeter Matroids
Buildings
References
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	I.M. Gelfand, Neil White, Alexandre Borovik
Parution	07/08/2003
Nb. de pages	266
Format	16 x 24
Couverture	Relié
Poids	545g
Intérieur	Noir et Blanc
EAN13	9780817637644
ISBN13	978-0-8176-3764-4