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Coxeter Matroids

Birkhäuser Boston,
86,62 € Lieferbar in 5-7 Tagen
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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.


Titel: Coxeter Matroids
Autoren/Herausgeber: Alexandre V. Borovik, Israel M. Gelfand, Neil White
Illustrator: A. Borovik
Aus der Reihe: Progress in Mathematics
Ausgabe: Softcover reprint of the original 1st ed. 2003

ISBN/EAN: 9781461274001

Seitenzahl: 266
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 445 g
Sprache: Englisch - Newsletter
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