A Journey Through Representation Theory From Finite Groups to Quivers via Algebras /

• Main Authors: Gruson, Caroline (Author, http://id.loc.gov/vocabulary/relators/aut), Serganova, Vera (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Universitext,
• Subjects: Group theory.; Group Theory and Generalizations.

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...

Table of Contents:

• Introduction to Representation Theory of Finite Groups
• Modules with Applications to Finite Groups
• Representations of Compact Groups
• Results About Unitary Representations
• On Algebraic Methods
• Symmetric Groups, Schur-Weyl Duality and Positive Self-adjoint Hopf Algebras
• Introduction to representation theory of quivers
• Representations of Dynkin and affine quivers
• Applications of quivers
• Bibliography
• Index.