25 citations · 53 across the 8 of their papers we have counts for
5 papers · 1 filter
On the number of terms in the middle of almost split sequences over cycle-finite artin algebras
Piotr Malicki, José A. de la Peña, Andrzej Skowroński
We prove that the number of terms in the middle of an almost split sequence in the module category of a cycle-finite artin algebra is bounded by 5.
Algebras whose Tits form accepts a maximal omnipresent root
José A. de la Peña, Andrzej Skowroński
Let k be an algebraically closed field and A be a finite-dimensional associative basic k-algebra of the form A=kQ/I where Q is a quiver without oriented cycles or double arrows and…
Spectral analysis of finite dimensional algebras and singularities
Helmut Lenzing, Jose Antonio de la Pena
We give a summary on spectral techniques for finite dimensional algebras and study its link to singularity theory. In particular, we offer a contribution to the categorification of…
A Chebycheff recursion formula for Coxeter polynomials
Helmut Lenzing, José Antonio de la Peña
We investigate the spectral properties of a new class of finite dimensional algebras, called extended canonical. In particular, we show that at most four eigenvalues of the Coxeter…
Extended canonical algebras and Fuchsian singularities
Helmut Lenzing, José Antonio de la Peña
We introduce a new class of finite dimensional algebras, called extended canonical, investigate their derived categories and study the spectral behavior of their Coxeter transforma…