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Coxeter Matroids (Paperback, Softcover reprint of the original 1st ed. 2003)
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Coxeter Matroids (Paperback, Softcover reprint of the original 1st ed. 2003)
Series: Progress in Mathematics, 216
Expected to ship within 10 - 15 working days
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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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