In this paper we study a certain class of central extensions of preprojective algebras of
quivers under the name quiver Heisenberg algebras (QHA). There are several classes of …

Quivers play an important role in the representation theory of algebras, with a key ingredient
being the path algebra and the preprojective algebra. Quiver grassmannians are varieties of …

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 …

arXiv:2103.15380v3 [math.RT] 26 Oct 2021 Page 1 arXiv:2103.15380v3 [math.RT] 26 Oct
2021 CLASSIFICATION OF THE d-REPRESENTATION-FINITE TRIVIAL EXTENSIONS OF …

Hereditary algebras are quasi-hereditary with respect to any adapted partial order on the
indexing set of the isomorphism classes of their simple modules. For any adapted partial …

In this paper, the authors study when the closure (in the Zariski topology) of orbits of
representations of quivers of type $ A $ are rationally smooth. This is done by considering …

We develop the theory of generalized path algebras as defined by Coelho and Xiu [4]. In
particular, we focus on the relation between a set of algebras and its associated generalized …

The irreducible components of varieties parametrizing the finite dimensional representations
of a finite dimensional algebra Λ are explored, with regard to both their geometry and the …

We construct the quantized enveloping algebra of any simple Lie algebra of type ADE as the
quotient of a Grothendieck ring arising from certain cyclic quiver varieties. In particular, the …

Ginzburg, Bocklandt, and Le Bruyn defined an infinite-dimensional Lie algebra canonically
associated to any quiver. Following suggestions of V. Turaev, P. Etingof, and Ginzburg, we …