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Quivers, Algebras and Adjoint functors

2017/04/24 by Iusenko, Kostiantyn
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1704.07409

Abstract

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 representation theory of finite-dimensional algebras. We learnt the concept of adjoint functors and showed that the construction "quiver" "algebra" can be interpreted as a pair of adjoint functors between certain categories. Lectures almost do not contain the proofs, theoretical part is accompanied with examples, and sometimes introduced in the form of exercises.

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