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Discrete Mathematics and Combinatorics

Selected Works

2003

Articles 1 - 3 of 3

Full-Text Articles in Mathematics

Balanced Configurations Of Lattice Vectors And Gkz-Rational Toric Fourfolds In P^6, Eduardo Cattani, Alicia Dickenstein Mar 2003

Balanced Configurations Of Lattice Vectors And Gkz-Rational Toric Fourfolds In P^6, Eduardo Cattani, Alicia Dickenstein

Eduardo Cattani

We introduce a notion of balanced configurations of vectors. This is motivated by the study of rational A-hypergeometric functions in the sense of Gelfand, Kapranov and Zelevinsky. We classify balanced configurations of seven plane vectors up to GL(2,R)-equivalence and deduce that the only gkz-rational toric four-folds in P6 are those varieties associated with an essential Cayley configuration. We show that in this case, all rational A-hypergeometric functions may be described in terms of toric residues. This follows from studying a suitable hyperplane arrangement.

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Working Across Cultures, John Hooker Dec 2002

Working Across Cultures, John Hooker

John Hooker

No abstract provided.

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A Family Of Isomorphic Fusion Algebras Of Twisted Quantum Doubles Of Finite Groups, Christopher Goff Dec 2002

A Family Of Isomorphic Fusion Algebras Of Twisted Quantum Doubles Of Finite Groups, Christopher Goff

Christopher Goff

Let D<sup>ω</sup>(G) be the twisted quantum double of a finite group, G, where ω∈Z<sup>3</sup>(G,C∗). For each n∈N, there exists an ω such that D(G) and D<sup>ω</sup>(E) have isomorphic fusion algebras, where G is an extraspecial 2-group with 2<sup>2n+1</sup> elements, and E is an elementary abelian group with |E|=|G|.

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