5 citations · 6 across the 5 of their papers we have counts for
9 papers
Exact Borel subalgebras, idempotent quotients and idempotent subalgebras
Teresa Conde, Julian Külshammer
This article studies the compatibility of Koenig's notion of an exact Borel subalgebra of a quasi-hereditary or, more generally, standardly stratified algebra with taking idempoten…
Towards bound quivers for exact categories
Julian Külshammer
In this survey article we propose the notion of a bound quiver for an exact category generalising the classical concept of the Gabriel quiver and its relation for a module category…
Uniqueness of exact Borel subalgebras and bocses
Julian Külshammer, Vanessa Miemietz
Together with Koenig and Ovsienko, the first author showed that every quasi-hereditary algebra can be obtained as the (left or right) dual of a directed bocs. In this monograph, we…
Prospecies of algebras I: Basic properties
Julian Külshammer
In this paper, we generalise part of the theory of hereditary algebras to the context of prospecies of algebras. Here, a prospecies is a generalisation of Gabriel's concept of spec…
The naive approach for constructing the derived category of a -abelian category fails
Gustavo Jasso, Julian Külshammer
Let be a field. In this short note we give an example of a -abelian -category, realized as a -cluster-tilting subcategory of the category of fi…
In the bocs seat: Quasi-hereditary algebras and representation type
Julian Külshammer
This paper surveys bocses, quasi-hereditary algebras and their relationship which was established in a recent result by Koenig, Ovsienko, and the author. Particular emphasis is pla…
Auslander-Reiten theory of small half quantum groups
Julian Külshammer
For the small half quantum groups and we show that the components of the stable Auslander-Reiten quiver containing gradable modules are of the form Z[A_\infty]
Representation type of Frobenius-Lusztig kernels
Julian Külshammer
In this article we show that almost all blocks of all Frobenius-Lusztig kernels are of wild representation type extending results of Feldvoss andWitherspoon, who proved this result…
Biserial algebras via subalgebras and the path algebra of D_4
Julian Külshammer
We give two new criteria for a basic algebra to be biserial. The first one states that an algebra is biserial iff all subalgebras of the form eAe where e is supported by at most 4…