The Whitney Algebra of a Matroid
β Scribed by Henry Crapo; William Schmitt
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 547 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The concept of a combinatorial W P U -geometry for a Coxeter group W , a subset P of its generating involutions and a subgroup U of W with P β U yields the combinatorial foundation for a unified treatment of the representation theories of matroids and of even -matroids. The concept of a W P -matroid
A classification is given for regular positions D Γ D D of Jones index 4 where D=alg lim wwΓ M nk (C) is an even matroid algebra and where the individual summands have index 2. A similar classification is obtained for positions of direct sums of 2-symmetric algebras and, in the odd case, for the pos
We introduce the concept of depth and r-depth of a matroid M, proving that the sequence of the r-depths is the conjugate partition of the rank partition of M. The notion of quasitransversal is defined and its properties stated. We also present connections between the concept of r-depth, the quasi-tr