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A Journey Through Representation Theory: From Finite Groups to Quivers Via Algebras 2018 Edition
Contributor(s): Gruson, Caroline (Author), Serganova, Vera (Author)

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 ISBN: 3319982699     ISBN-13: 9783319982694
Publisher: Springer
OUR PRICE: $56.99  

Binding Type: Paperback
Published: October 2018
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Additional Information
BISAC Categories:
- Mathematics | Algebra - Abstract
- Mathematics | Group Theory
Dewey: 512.2
Series: Universitext
Physical Information: 0.4" H x 11.2" W x 4.5" L (0.70 lbs) 223 pages
Features: Bibliography
 
Descriptions, Reviews, Etc.
Publisher Description:

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.
 
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