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math.RT2017
Stable representations of posets
Vyacheslav Futorny, Kostiantyn Iusenko
The purpose of this paper is to study stable representations of partially ordered sets (posets) and compare it to the well known theory for quivers. In particular, we prove that ev…
math.RT2017
Quivers, Algebras and Adjoint functors
Kostiantyn Iusenko
These are the notes for a minicourse held in Odessa (2016) and Belo Horizonte (2017). My aim was to provide a short introduction to basic notions of category theory and representat…
math.RA2017
The path algebra as a left adjoint functor
Kostiantyn Iusenko, John MacQuarrie
We consider an intermediate category between the category of finite quivers and a certain category of pseudocompact associative algebras whose objects include all pointed finite di…