By Alexandre V. Borovik,Israel M. Gelfand,Neil White,A. Borovik
Matroids seem in various components of arithmetic, from combinatorics to algebraic topology and geometry, and "Coxeter Matroids" provides an intuitive and interdisciplinary remedy in their theory. In this article, matroids are examined in phrases of symmetric and finite mirrored image teams; additionally, symplectic matroids and the extra basic coxeter matroids are rigorously built. The Gelfand-Serganova theorem, which permits for the geometric interpretation of matroids as convex polytopes with definite symmetry houses, is gifted, and within the ultimate bankruptcy, matroid representations and combinatorial flag kinds are mentioned. With its very good bibliography and index and considerable references to present research, this work will be beneficial for graduate scholars and learn mathematicians.
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Coxeter Matroids (Progress in Mathematics) by Alexandre V. Borovik,Israel M. Gelfand,Neil White,A. Borovik