A Journey Through Representation Theory

A Journey Through Representation Theory
Author :
Publisher : Springer
Total Pages : 231
Release :
ISBN-10 : 9783319982717
ISBN-13 : 3319982710
Rating : 4/5 (17 Downloads)

Book Synopsis A Journey Through Representation Theory by : Caroline Gruson

Download or read book A Journey Through Representation Theory written by Caroline Gruson and published by Springer. This book was released on 2018-10-23 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


A Journey Through Representation Theory Related Books

A Journey Through Representation Theory
Language: en
Pages: 231
Authors: Caroline Gruson
Categories: Mathematics
Type: BOOK - Published: 2018-10-23 - Publisher: Springer

DOWNLOAD EBOOK

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 fiel
A Tour of Representation Theory
Language: en
Pages: 674
Authors: Martin Lorenz
Categories: Mathematics
Type: BOOK - Published: 2018 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Offers an introduction to four different flavours of representation theory: representations of algebras, groups, Lie algebras, and Hopf algebras. A separate par
Operator Theory, Functional Analysis and Applications
Language: en
Pages: 654
Authors: M. Amélia Bastos
Categories: Mathematics
Type: BOOK - Published: 2021-03-31 - Publisher: Springer Nature

DOWNLOAD EBOOK

This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in
A Journey through the History of Numerical Linear Algebra
Language: en
Pages: 813
Authors: Claude Brezinski
Categories: Mathematics
Type: BOOK - Published: 2022-12-06 - Publisher: SIAM

DOWNLOAD EBOOK

This expansive volume describes the history of numerical methods proposed for solving linear algebra problems, from antiquity to the present day. The authors fo
Group Theory
Language: en
Pages: 278
Authors: Predrag Cvitanović
Categories: Mathematics
Type: BOOK - Published: 2008-07-01 - Publisher: Princeton University Press

DOWNLOAD EBOOK

If classical Lie groups preserve bilinear vector norms, what Lie groups preserve trilinear, quadrilinear, and higher order invariants? Answering this question f