Completions of discrete cluster categories of type A

the investigation of the relationship between type a and type b personalities and quality of translation

چکیده ندارد.

CLUSTER ALGEBRAS AND CLUSTER CATEGORIES

These are notes from introductory survey lectures given at the Institute for Studies in Theoretical Physics and Mathematics (IPM), Teheran, in 2008 and 2010. We present the definition and the fundamental properties of Fomin-Zelevinsky’s cluster algebras. Then, we introduce quiver representations and show how they can be used to construct cluster variables, which are the canonical generator...

Formal Completions and Idempotent Completions of Triangulated Categories of Singularities

The main goal of this paper is to prove that the idempotent completions of the triangulated categories of singularities of two schemes are equivalent if the formal completions of these schemes along singularities are isomorphic. We also discuss Thomason theorem on dense subcategories and a relation to the negative K-theory.

Cluster Categories and Selfinjective Algebras: Type A

We show that the stable module categories of certain selfinjective algebras of finite representation type having tree class A n are actually u-cluster categories. Since their introduction in [6], [7], cluster categories have become a central topic in representation theory. They provide the framework for the representation-theoretic approach to the highly successful theory of cluster algebras, a...

Cotopological completions and hulls of concrete categories