Let k be an algebraically closed field. Let A be an associative
k-algebra with an identity, which is finite dimensional (as a vector
space over k). An interesting problem is to describe the category
of finite dimensional (left or right) A-modules. During the talk we
present bound quivers introduced by Gabriel, almost split sequences
introduced by Auslander and Reiten, and Drozd's wild-tame
dichotomy. These results had a big impact on the development of the
representation theory of associative algebras over last forty years.
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