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Representation theory a first course by Fulton, William

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Published by Springer in New York .
Written in English


  • Representations of groups.,
  • Representations of algebras.,
  • Lie groups.,
  • Lie algebras.

Book details:

Edition Notes

Includes bibliographical references (p. [536]-541) and indexes.

StatementWilliam Fulton, Joe Harris.
SeriesGraduate texts in mathematics ;, 129., Readings in mathematics, Graduate texts in mathematics ;, 129., Graduate texts in mathematics.
ContributionsHarris, Joe, 1951-
LC ClassificationsQA176 .F85 1996
The Physical Object
Paginationxv, 551 p. :
Number of Pages551
ID Numbers
Open LibraryOL577445M
ISBN 100387974954
LC Control Number96165313

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Representation Theory of Finite Groups presents group representation theory at a level accessible to advanced undergraduate students and beginning graduate students. The required background is maintained to the level of linear algebra, group theory, and very basic ring theory and avoids prerequisites in analysis and topology by dealing exclusively with finite by: Representation Theory of Finite Groups and millions of other books are available for Amazon Kindle. Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device by: Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs, although the potential reader can probably see this better by a quick browse through the book. Representation theory is simple to define: it is the study of the ways in which a given group may act on vector spaces. The book arises from notes of courses taught at the second year graduate level at the University of Minnesota and is suitable to accompany study at that level. If you have comments on what I have written, and particularly if you use this material for teaching, please let me know.

a representation theory course given by the rst author to the re- maining six authors in March within the framework of the Clay Mathematics File Size: KB. There are good amount of representation theory books that goes towards the representation theory of Lie algebras after some ordinary representation theory. This book does finite group representation theory and goes quite in depth with it (including some mention of the case where Maschke's theorem does not hold). to geometry, probability theory, quantum mechanics and quantum field theory. Representation theory was born in in the work of the German mathematician F. G. Frobenius. This work was triggered by a letter to Frobenius by R. Dedekind. In this letter DedekindCited by: than ordinary character theory to be understood. This book is written for students who are studying nite group representation theory beyond the level of a rst course in abstract algebra. It has arisen out of notes for courses given at the second-year graduate level at the University of Minnesota. My aim has been to write the book for the Size: 1MB.

  Representation theory investigates the different ways in which a given algebraic object—such as a group or a Lie algebra—can act on a vector space. My favorite book right now on representation theory is Claudio Procesi's Lie groups: an approach through invariants and representations. It is one of those rare books that manages to be just about as formal as needed without being overburdened by excessive pedantry. Representation Theory of Finite Groups has the virtue of being cheap and available and somewhat more readable than the Serre book. The Brouwer book of tables is a Rice university press book from the library without a ISBN and isn't listed at by: Quantum Theory and Representation Theory, the Book Posted on J by woit For the last few years most of my time has been spent working on writing a textbook, with the current title Quantum Theory, Groups and Representations: An Introduction.