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 …

This textbook is an introduction to the representation theory of finite-dimensional algebras
with a strong emphasis on quivers and their representations. The book is intended to be …

You can see the arrows in a quiver operator algebra Page 1 J. Aust. Math. Soc. 77 (2004),
111-122 YOU CAN SEE THE ARROWS IN A QUIVER OPERATOR ALGEBRA BARUCH SOLEL …

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 …

We discuss methods for solving some familiar matrix equations. The methods were derived
from the theory of quivers, a powerful tool in the representation theory of algebras. It is not …

A unitary (Euclidean) representation of a quiver is given by assigning to each vertex a
unitary (Euclidean) vector space and to each arrow a linear mapping of the corresponding …

In this chapter a new language is introduced to study the examples of matrix problems: that
of representations of quivers. This approach leads naturally to a more sophisticated …

In the paper we discuss the notion of “dispersing representation of a quiver” and give, in a
natural special case, a criterion for the problem of classifying such representations to be …

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

The notion of quiver representations introduced in [Gab] provides a framework for a wide
range of linear algebra problems. Roughly speaking, a representation of a quiver is a …