Ibrahim Assem, Daniel Simson, Andrzej Skowroński,
Elements of the Representation Theory of Associative Algebras,
Cambridge University Press 2006, 2007
Seria składająca się z 3 tomów opatrzonych następującymi podtytułami: Techniques of Representation Theory (Vol. 1), Tubes and Concealed Algebras of Euclidean type (Vol. 2), Representation-infinite Title Algebras (Vol 3).
Nowadays, studying the representations of an algebra (which we always assume to be finite dimensional over an algebraically closed field, associative, and with an identity) is understood as involving the classification of the (finitely generated) indecomposable modules over that algebra and the homomorphisms between them. The rapid growth of the theory and the extent of the published original literature became major obstacles for the beginners seeking to make their way into this area.
We are writing this textbook with these considerations in mind: It is therefore primarily addressed to graduate students starting research in the representation theory of algebras. It should also, we hope, be of interest to mathematicians working in other fields. [ze wstępu do t. 1]
[Prof. dr hab. Daniel Simson oraz Prof. dr hab. Andrzej Skowroński są pracownikami Wydziału Matematyki i Informatyki UMK]