One of the seminal results of modern representation theory of algebras is Gabriel's theorem
saying that a quiver algebra A= kQ accepts only finitely many isoclasses of indecomposable …

We deal in these notes with associative algebras A over an algebraically closed field k and
study the category mod A of finitely generated left A-modules. If A is finitedimensional, then …

Let K be an algebraically closed field. From Drozd's Tame and Wild Theorem [37](see also
[25] and [42]) the finite dimensional algebras (associative, with an identity) may be divided …

Abstract top Let A= kQ/I be a finite dimensional basic algebra over an algebraically closed
field k presented by its quiver Q with relations I. A fundamental problem in the representation …

We consider the quivers K (n) with two vertices a; b and n arrows a! b; the quiver K (2) is
usually called the Kronecker quiver, since the nite dimensional representations of K (2) are …

For any finite dimensional algebra A over an algebraically closed fieldk we denote by T2 (A)
the algebra of 2 x 2 upper triangular matrices over A. It is well known that the category mod …

Let A be a finite dimensional algebra over an algebraically closed field k. In recent years the
consideration of the derived category D"(A) of the category mod A of (left-) modules over A …

ANDRZEJ SK OWRO N SKI AND GRZEGORZ Z WARA(TORU N) 1. Introduction.
Throughout the paper K denotes a fixed algebraically closed field. By an algebra we mean …

Since the introduction by Gabriel in 1972 of the Tits quadratic form associated to finite
dimensional hereditary algebras, quadratic forms have played an important role in the …

Let A=/cA be the path algebra of a finite, connected quiver A without oriented cycles. Here k
denotes an algebraically closed field. We denote the category of finite-dimensional A-left …