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Representation theory is the study of abstract algebraic structures by relating their elements to linear transformations of vector spaces. It is a powerful tool in mathematics and physics, providing insights into the structure of groups, algebras, and other mathematical objects. This book offers a comprehensive introduction to the theory of representations of finite groups and Lie groups, covering fundamental concepts such as group algebras, characters, and induced representations. It also includes detailed treatments of specific examples, such as the representations of symmetric groups and general linear groups, and discusses Schur-Weyl duality. The text is suitable for graduate students and researchers in mathematics and physics.
The book provides a comprehensive introduction to the theory of representations of finite groups and Lie groups. It covers fundamental concepts such as group algebras, characters, and induced representations, alongside detailed treatments of specific examples like symmetric groups and general linear groups. The text is structured to build a solid understanding of the subject, suitable for graduate students and researchers in mathematics and physics.
This text is recognized as a standard graduate-level introduction to representation theory. Its rigorous approach and broad coverage make it a valuable resource for students and researchers. The book is often cited for its clear exposition of complex topics and its detailed examples. It serves as a foundational text for those delving into algebraic structures and their applications.
Page Count:
551
Publication Date:
1991-01-01
ISBN-10:
0387975276
ISBN-13:
9780387975276
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