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Representation Theory: A First Course (Graduate Texts in Mathematics (129)) by William Fulton, Joe Harris, Joseph Harris, Fulton, William is a nonfiction available to read on EtoBox.

What is Representation Theory: A First Course (Graduate Texts in Mathematics (129)) about?

The primary goal of these lectures is to introduce a beginner to the finite dimensional representations of Lie groups and Lie algebras. 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. It is almost certainly unique, however, among such clearly delineated subjects, in the breadth of its interest to mathematicians. This is not surprising: group actions are ubiquitous in 20th century mathematics, and where the object on which a group acts is not a vector space, we have learned to replace it by one that is {e. g. , a cohomology group, tangent space, etc. }. As a consequence, many mathematicians other than specialists in the field {or even those who think they might want to be} come in contact with the subject in various ways. It is for such people that this text is designed. To put it another way, we intend this as a book for beginners to learn from and not as a reference. This idea essentially determines the c

Who reads Representation Theory: A First Course (Graduate Texts in Mathematics (129))?

Author

William Fulton, Joe Harris, Joseph Harris, Fulton, William

Publisher

Springer Science & Business Media

Published

2013

Language

EN

ISBN

9780387974958

Category

nonfiction

Subjects

Mathematics, Algebra, Stem