Introduction to Representation Theory

  title={Introduction to Representation Theory},
  author={Pavel Etingof and Oleg Golberg and Sebastian Hensel and Tiankai Liu and A. F. Schwendner and Dmitry Vaintrob and Elena Yudovina},
Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a "holistic" introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups… 

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