The algebraic structures known as Leavitt path algebras were initially developed in 2004 by
Ara, Moreno and Pardo, and almost simultaneously (using a different approach) by the …

We study the category of left unital graded modules over the Steinberg algebra of a graded
ample Hausdorff groupoid. In the first part of the paper, we show that this category is …

We present a new class of graded irreducible representations of a Leavitt path algebra. This
class is new in the sense that its representation space is not isomorphic to any of the existing …

Let E be a directed graph, K any field, and let LK (E) denote the Leavitt path algebra of E
with coefficients in K. For each rational infinite path c∞ of E we explicitly construct a …

Using the E-algebraic branching systems, various graded irreducible representations of a
Leavitt path K-algebra L of a directed graph E are constructed. The concept of a Laurent …

Given an arbitrary graph E and any field K, a new class of simple modules over the Leavitt
path algebra LK (E) is constructed by using vertices that emit infinitely many edges in E. The …

Several descriptions of irreducible representations of both Leavitt and hence Cohn path
algebras of an arbitrary digraph with coefficients in a commutative field introduced by Chen …

We characterise directed graphs consisting of disjoint cycles via their talented monoids. We
show that a graph E consists of disjoint cycles precisely when its talented monoid TE has a …

When Γ is a row-finite digraph, we classify all finite-dimensional modules of the Leavitt path
algebra L⁢(Γ) via an explicit Morita equivalence given by an effective combinatorial …

We study representations of a Leavitt path algebra L of a finitely separated digraph Γ over a
field. We show that the category of L-modules is equivalent to a full subcategory of quiver …