Representations of Finite and Compact Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representations of Finite and Compact Groups write by Barry Simon. This book was released on 1996. Representations of Finite and Compact Groups available in PDF, EPUB and Kindle. This text is a comprehensive pedagogical presentation of the theory of representation of finite and compact Lie groups. It considers both the general theory and representation of specific groups. Representation theory is discussed on the following types of groups: finite groups of rotations, permutation groups, and classical compact semisimple Lie groups. Along the way, the structure theory of the compact semisimple Lie groups is exposed. This is aimed at research mathematicians and graduate students studying group theory.
Compact Lie Groups and Their Representations
Compact Lie Groups and Their Representations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Compact Lie Groups and Their Representations write by Dmitriĭ Petrovich Zhelobenko. This book was released on 1973-01-01. Compact Lie Groups and Their Representations available in PDF, EPUB and Kindle.
Linear Representations of Finite Groups
Linear Representations of Finite Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear Representations of Finite Groups write by Jean Pierre Serre. This book was released on 1996. Linear Representations of Finite Groups available in PDF, EPUB and Kindle.
An Introduction to the Representation Theory of Groups
An Introduction to the Representation Theory of Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to the Representation Theory of Groups write by Emmanuel Kowalski. This book was released on 2014-08-28. An Introduction to the Representation Theory of Groups available in PDF, EPUB and Kindle. Representation theory is an important part of modern mathematics, not only as a subject in its own right but also as a tool for many applications. It provides a means for exploiting symmetry, making it particularly useful in number theory, algebraic geometry, and differential geometry, as well as classical and modern physics. The goal of this book is to present, in a motivated manner, the basic formalism of representation theory as well as some important applications. The style is intended to allow the reader to gain access to the insights and ideas of representation theory--not only to verify that a certain result is true, but also to explain why it is important and why the proof is natural. The presentation emphasizes the fact that the ideas of representation theory appear, sometimes in slightly different ways, in many contexts. Thus the book discusses in some detail the fundamental notions of representation theory for arbitrary groups. It then considers the special case of complex representations of finite groups and discusses the representations of compact groups, in both cases with some important applications. There is a short introduction to algebraic groups as well as an introduction to unitary representations of some noncompact groups. The text includes many exercises and examples.
Representations of Finite and Lie Groups
Representations of Finite and Lie Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representations of Finite and Lie Groups write by Charles Benedict Thomas. This book was released on 2004. Representations of Finite and Lie Groups available in PDF, EPUB and Kindle. This book provides an introduction to representations of both finite and compact groups. The proofs of the basic results are given for the finite case, but are so phrased as to hold without change for compact topological groups with an invariant integral replacing the sum over the group elements as an averaging tool. Among the topics covered are the relation between representations and characters, the construction of irreducible representations, induced representations and Frobenius reciprocity. Special emphasis is given to exterior powers, with the symmetric group Sn as an illustrative example. The book concludes with a chapter comparing the representations of the finite group SL2(p) and the non-compact Lie group SL2(P).
