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portada Coxeter Matroids (Progress in Mathematics)
Type
Physical Book
Publisher
Author
Year
2003
Language
English
Pages
264
Format
Hardcover
ISBN
0817637648
ISBN13
9780817637644
Edition No.
2003
Categories

Coxeter Matroids (Progress in Mathematics)

Alexandre V. Borovik; Israel M. Gelfand; Neil White (Author) · Birkhäuser · Hardcover

Coxeter Matroids (Progress in Mathematics) - Alexandre V. Borovik; Israel M. Gelfand; Neil White

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Synopsis "Coxeter Matroids (Progress in Mathematics) "

Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry, and "Coxeter Matroids" provides an intuitive and interdisciplinary treatment of their theory.  In this text, matroids are examined in 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, this work will be useful for graduate students and research mathematicians.

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