3 citations · 7 across the 9 of their papers we have counts for
10 papers
On representation-finite selfinjective algebras, coverings, multiplicative bases ...
Klaus Bongartz
We give a simplified complete proof for the classification of the selfinjective representation-finite algebras of finite dimension over an algebraically closed field. We explain th…
On minimal representation-infinite algebras
Klaus Bongartz
Over an algebraically closed field we classify all minimal representation-infinite algebras where the lattice of two-sided ideals is not distributive. As a consequence there are on…
Representation embeddings and the second Brauer-Thrall conjecture
Klaus Bongartz
We prove that over an algebraically closed field there is a representation embedding from the category of classical Kronecker-modules without the simple injective into the category…
A direct approach to the rational normal form
Klaus Bongartz
We give a short constructive proof for the existence and uniqueness of the rational normal form of a quadratic matrix.
Varieties of uniserial representations IV. Kinship to geometric quotients
Klaus Bongartz, Birge Huisgen-Zimmermann
Let be a finite dimensional algebra over an algebraically closed field, and a finite sequence of simple left -modules. In [6, 9], quasiprojective algebraic variet…
The geometry of uniserial representations of algebras II. Alternate viewpoints and uniqueness
Klaus Bongartz, Birge Huisgen-Zimmermann
We provide two alternate settings for a family of varieties modeling the uniserial representations with fixed sequence of composition factors over a finite dimensional algebra. The…
On representation-finite algebras and beyond
Klaus Bongartz
We give a survey on the theory of representation-finite and certain minimal representation-infinite algebras.The main goals are the existence of multiplicative bases and of coverin…
On mild contours in ray categories
Klaus Bongartz
We generalize and refine the strure and disjointness theorems for non-deep contours obtained in the fundamental article 'Multiplicative bases and representation-finite algebras'. I…
On minimal disjoint degenerations of modules over tame path algebras
Klaus Bongartz, Guido Frank, Isabel Wolters
We study minimal disjoint degenerations for representations of tame quivers. In particular, we prove that their codimensions are bounded by 2. Therefore a quiver is Dynkin resp. Eu…
Indecomposables live in all smaller lengths
Klaus Bongartz
Let k be an algebraically closed field and A a finite dimensional associative k-algebra. We prove that there is no gap in the lengths of indecomposable A-modules of finite length.…