Quivers (directed graphs), species (a generalization of quivers) and their representations
play a key role in many areas of mathematics including combinatorics, geometry, and …

Publisher Summary This chapter discusses the use of the language of quivers in
mathematics. Quivers arise in many areas of mathematics, including representation theory …

We study preprojective algebras of graphs and their relationship to module categories over
representations of quantum SL (2). As an application, ADE quiver varieties of Nakajima are …

In this paper we associate an abelian category to a finite directed graph and prove the
categories arising from two graphs are equivalent if the incidence matrices of the graphs are …

A basic finite dimensional algebra over an algebraically closed field $ k $ is isomorphic to a
quotient of a tensor algebra by an admissible ideal. The category of left modules over the …

A'quiver'is a directed graph, and a representation is defined by a vector space for each
vertex and a linear map for each arrow. The theory of representations of quivers touches …

This is a survey article for" Handbook of Linear Algebra", 2nd ed., Chapman & Hall/CRC,
2014. An informal introduction to representations of quivers and finite dimensional algebras …

Quivers and admissible relations of tensor products and trivial extensions Page 1 Master of
Science in Mathematics June 2011 Øyvind Solberg, MATH Submission date: Supervisor …

A monoid structure on families of representations of a quiver is introduced by taking
extensions of representations in families, that is, subvarieties of the varieties of …

Gabriel's Theorem, and the work of Bernstein, Gelfand and Ponomarev established a
connection between the theory of quiver representations and the theory of simple Lie …