Algebraic characteristic sets of matroids
β Scribed by Gary Gordon
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 569 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let k be a field of characteristic zero. We consider graded subalgebras A of k[x 1 , . . . , x m ]/ (x 2 1 , . . . , x 2 m ) generated by d linearly independent linear forms. Representations of matroids over k provide a natural description of the structure of these algebras. In return, the numerical
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
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