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COXETER MATROIDS IBD

BIRKHäUSER
07 / 2003
9780817637644
Inglés

Sinopsis

Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry, andá'Coxeter Matroids'áprovides an intuitive and interdisciplinary treatment of their theory.ááIn this text, matroids are examinedáin terms of symmetric and finite reflection groups, also, symplectic matroids and the more general coxeter matroids are carefully developed. The Gelfand-Serganova theorem, which allows for the geometric interpretation of matroids as convex polytopes with certain symmetry properties, is presented, and in the final chapter, matroid representations and combinatorial flag varieties are discussed. With its excellent bibliography and index and ample references to current research,áthis workáwill be useful for graduate students and research mathematicians.

PVP
132,55