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Coxeter Matroids

Alexandre V. Borovik; A. Borovik; Israel M. Gelfand; Neil White

978-1-4612-2066-4

2003
Edition 1
- 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
- Symplectic matroids and the increasingly general Coxeter matroids are carefully developed
- The Gelfand-Serganova theorem is presented, allowing for a geometric interpretation of matroids and Coxeter matroids as convex polytopes with certain symmetry properties
- Matroids representations and combinatorial flag varieties are studied in the final chapter
- Many exercises throughout
- Excellent bibliography and index
€419

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