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Representations of Type A Quivers over Dual Numbers

Student: Suslina Elena

Supervisor: Leonid Grigoryevich Rybnikov

Faculty: Faculty of Mathematics

Educational Programme: Mathematics (Bachelor)

Year of Graduation: 2017

In the current work we study a specific case of representation theory —— representations of quivers; more precisely —— representations of quivers of type $A$ over the algebra of dual numbers. Our goal is to find the indecomposable representations and to present them as graphs, using simpler methods than those used in the earlier works on the topic.

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