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The Orlik-Solomon algebra on the partition lattice and the free Lie algebra

✍ Scribed by Barcelo, Hélène (author);Bergeron, Nantel (author)

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
576 KB
Volume
55
Category
Article
ISSN
0097-3165

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📜 SIMILAR VOLUMES

A Note on the Orlik–Solomon Algebra
A Note on the Orlik–Solomon Algebra
✍ Raul Cordovil; Gwihen Etienne 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 112 KB

Let M = M(E) be a matroid on a linear ordered set E. The Orlik-Solomon Z-algebra OS(M) of M is the free exterior Z-algebra on E, modulo the ideal generated by the circuit boundaries. The Z-module OS(M) has a canonical basis called 'no broken circuit basis' and denoted nbc. Let e X = e i , e i ∈ X ⊂