A Journey Through Representation Theory is popular PDF and ePub book, written by Caroline Gruson in 2018-10-23, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, A Journey Through Representation Theory can be Read Online from any device for your convenience.

A Journey Through Representation Theory Book PDF Summary

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). Ample examples are provided and some are revisited with a different approach when new methods are introduced, leading to deeper results. Exercises are spread throughout each chapter. Prerequisites include an advanced course in linear algebra that covers Jordan normal forms and tensor products as well as basic results on groups and rings.

Detail Book of A Journey Through Representation Theory PDF

A Journey Through Representation Theory
  • Author : Caroline Gruson
  • Release : 23 October 2018
  • Publisher : Springer
  • ISBN : 9783319982717
  • Genre : Mathematics
  • Total Page : 231 pages
  • Language : English
  • PDF File Size : 7,5 Mb

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