Bücher von Neil White

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

"e;A remarkable story of a young man's loss of everything he deemed important, and his ultimate discovery that redemption can be taught by society's most dreaded outcasts."e; John Grisham "e;Hilarious, astonishing, and deeply moving."e; John Berendt, author of Midnight in the Garden of Good and Evil The emotional, incredible true story of Neil White, a man who discovers the secret to happiness, leading a fulfilling life, and the importance of fatherhood in the most unlikely of placesthe last leper colony in the continental United States. In the words of Pulitzer Prize winner Robert Olen Butler (A Good Scent from a Strange Mountain), White is a splendid writer, and In the Sanctuary of Outcasts a book that will endure.