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Principal Structures and Methods of Representation Theory - Mathematical Monographs

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Description

This comprehensive mathematical monograph explores the theory of algebraic and topological structures that admit natural representations by operators in vector spaces, including topological algebras, Lie algebras, topological groups, and Lie groups. Divided into three parts, the book begins with a survey of general facts for beginners, covering essential linear algebra and functional analysis fundamentals. Part II examines associative algebras, Lie algebras, topological groups, and Lie groups alongside key aspects of ring theory and algebraic group theory. The author provides detailed accounts of central concepts in representation theory, making this translation from the American Mathematical Society an invaluable resource for students and researchers seeking a thorough understanding of how algebraic and topological structures can be represented through operator theory in vector spaces.

Key Features

Principal Structures and Methods of Representation Theory covers topological algebras, Lie algebras, topological groups, and Lie groups with comprehensive mathematical depth.

The book is divided into three structured parts that progress from foundational linear algebra and functional analysis to advanced representation theory topics.

Part II provides detailed accounts of associative algebras, Lie algebras, and ring theory, offering thorough coverage essential for advanced study.

Published by the American Mathematical Society as a translation of a mathematical monograph, ensuring academic credibility and rigorous mathematical treatment.

This used book in good condition offers an accessible entry point to representation theory suitable for both beginners and experienced mathematicians.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
26 January 2006
Listed Since
17 October 2006

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