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19922026
most citedPractical Bayesian Optimization of Machine Learning Algorithms

5.7k citations

Showing 2012 · math.RTShow all

6 papers · 2 filters

math.RT2012

Standard components of a Krull-Schmidt category

Shiping Liu, Charles Paquette

We provide criteria for an Auslander-Reiten component having sections of a Krull-Schmidt category to be standard. Specializing to the category of finitely presented representations…

math.RT2012★ 5 cited

On Maximal Green Sequences

Thomas Brüstle, Grégoire Dupont, Matthieu Pérotin

Maximal green sequences are particular sequences of quiver mutations appearing in the context of quantum dilogarithm identities and supersymmetric gauge theory. Interpreting maxima…

math.RT2012★ 4 cited

On the first Hochschild cohomology group of a cluster-tilted algebra

Ibrahim Assem, Maria Redondo, Ralf Schiffler

Given a cluster-tilted algebra B, we study its first Hochschild cohomology group HH^1(B) with coefficients in the B-B-bimodule B. If C is a tilted algebra such that B is the relati…

math.RT2012

Modules over cluster-tilted algebras determined by their dimension vectors

Ibrahim Assem, Grégoire Dupont

We prove that indecomposable transjective modules over cluster-tilted algebras are uniquely determined by their dimension vectors. Similarly, we prove that for cluster-concealed al…

math.RT2012

On a category of cluster algebras

Ibrahim Assem, Grégoire Dupont, Ralf Schiffler

We introduce a category of cluster algebras with fixed initial seeds. This category has countable coproducts, which can be constructed combinatorially, but no products. We characte…

math.RT2012★ 2 cited

Hochschild Cohomology and the Derived Class of M-Cluster Tilted Algebras of Type A

Juan Carlos Bustamante, Viviana Gubitosi

We classify all finite dimensional algebras which are derived equivalent to m-cluster tilted algebras of type A.