A Journey Through Representation Theory

A Journey Through Representation Theory

From Finite Groups to Quivers via Algebras

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This text covers a variety of topics in representation theory and is intended for graduate students and more advanced researchers who are interested in the field.The book begins with classical representation theory of finite groups over complex numbers and ends with results on representation theory of quivers. The text includes in particular infinite-dimensional unitary representations for abelian groups, Heisenberg groups and SL(2), and representation theory of finite-dimensional algebras. The last chapter is devoted to some applications of quivers, including Harish-Chandra modules for SL(2)....