Northeastern University

most citedAlgebraic invariants for right-angled Artin groups

92 citations

21 papers

quant-ph2005★ 1 cited

Reliably distinguishing states in qutrit channels using one-way LOCC

Christopher King, Daniel Matysiak

We present numerical evidence showing that any three-dimensional subspace of C^3 \otimes C^n has an orthonormal basis which can be reliably distinguished using one-way LOCC, where…

math.DS2005★ 1 cited

A Refinement of the Ray-Singer Torsion

Maxim Braverman, Thomas Kappeler

This is a short version of math.DG/0505537. For an acyclic representation of the fundamental group of a compact oriented odd-dimensional manifold, which is close enough to a unitar…

math.RT2005

Cluster categories and duplicated algebras

Ibrahim Assem, Thomas Brüstle, Ralf Schiffler +1

Let $A$ be a hereditary algebra. We construct a fundamental domain for the cluster category of $A$ inside the category of modules over the duplicated algebra $A ˉ$ of $A$ . We t…

math.AG2005

The Multiplicity Polar Theorem and Isolated Singularities

Terence Gaffney

Using invariants from commutative algebra to count geometric objects is a basic idea in singularities. For example, the multiplicity of an ideal is used to count points of intersec…

math.AC2005

On the minimal free resolution of the universal ring for resolutions of length two

Andrew R. Kustin, Jerzy M. Weyman

Hochster established the existence of a commutative noetherian ring $C ~$ and a universal resolution $U$ of the form $0 \to C ~^{e} \to C ~^{f} \to C ~^{g} \to 0$ s…

math.AG2005★ 1 cited

On the number of subrepresentations of a general quiver representation

Harm Derksen, Aidan Schofield, Jerzy Weyman

It is well-known that the intersection multiplicities of Schubert classes in the Grassmanian are Littlewood-Richardson coefficients. We generalize this statement in the context of…