𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Diagonal Bases in Orlik-Solomon Type Algebras

✍ Scribed by Raul Cordovil; David Forge

Publisher
Springer
Year
2003
Tongue
English
Weight
255 KB
Volume
7
Category
Article
ISSN
0218-0006

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Bases in Orlik–Solomon Type Algebras
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

Orlik–Solomon Type Algebras
Orlik–Solomon Type Algebras
✍ David Forge; Michel Las Vergnas 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 92 KB

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

Combinatorial and Algebraic Structure in
Combinatorial and Algebraic Structure in Orlik–Solomon Algebras
✍ Michael Falk 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 188 KB

The Orlik-Solomon algebra A(G) of a matroid G is the free exterior algebra on the points, modulo the ideal generated by the circuit boundaries. On one hand, this algebra is a homotopy invariant of the complement of any complex hyperplane arrangement realizing G. On the other hand, some features of t

Strict diagonal dominance and a Geršgori
Strict diagonal dominance and a Geršgorin type theorem in Euclidean Jordan algebras
✍ Melania M. Moldovan; M. Seetharama Gowda 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 194 KB

For complex square matrices, the Levy-Desplanques theorem asserts that a strictly diagonally dominant matrix is invertible. The well-known Geršgorin theorem on the location of eigenvalues is equivalent to this. In this article, we extend the Levy-Desplanques theorem to an object in a Euclidean Jorda