Coxeter Matroids
Versandkostenfrei!
Versandfertig in 1-2 Wochen
39,99 €
inkl. MwSt.
Weitere Ausgaben:
PAYBACK Punkte
20 °P sammeln!
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, al...
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.
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.
Andere Kunden interessierten sich für
