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Orlik-Solomon Algebras and Tutte Polynomials

✍ Scribed by Carrie J. Eschenbrenner; Michael J. Falk

Book ID: 110375679
Publisher: Springer
Year: 1999
Tongue: English
Weight: 71 KB
Volume: 10
Category: Article
ISSN: 0925-9899
DOI: 10.1023/a:1018735815621

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📜 SIMILAR VOLUMES

Orlik–Solomon Type Algebras

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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

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Bases in Orlik–Solomon Type Algebras

✍ David Forge 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 85 KB

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