We introduce χ-algebras, and show that a χ-algebra has the NBC basis property. We also show that a certain ideal used in the construction has the so-called BC basis property. The Orlik-Solomon algebra of a matroid, the Orlik-Terao algebra of a set of vectors, and the Cordovil algebra of an oriented
✦ LIBER ✦
Isotropic subspaces of Orlik-Solomon algebras
✍ Scribed by Miguel A. Marco-Buzunáriz
- Book ID
- 107687921
- Publisher
- Universidad Complutense de Madrid
- Year
- 2010
- Tongue
- Spanish
- Weight
- 461 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1139-1138
No coin nor oath required. For personal study only.
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Let M be a matroid on [n] and E be the graded algebra generated over a field k generated by the elements 1, e 1 , . . . , e n . Let (M) be the ideal of E generated by the squares e 2 1 , . . . , e 2 n , elements of the form e i e j + a i j e j e i and 'boundaries of circuits', i.e., elements of the