Coxeter Matroids (eBook)

Alexandre V. Borovik, Israel M. Gelfand, Neil White (Autoren)

eBook Download: PDF

2012
Birkhauser Boston (Verlag)
978-1-4612-2066-4 (ISBN)

Infos

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

Produkt-Details

• Erscheint lt. Verlag: 6.12.2012
• Illustrationen: A. Borovik
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 1-4612-2066-1 / 1461220661
• ISBN-13: 978-1-4612-2066-4 / 9781461220664