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Springer Lie Groups, Lie Algebras, and Representations Textbook

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Description

Master the fundamentals of advanced mathematics with this essential textbook from Springer. Part of the Graduate Texts in Mathematics series, this book provides a rigorous yet elementary introduction to Lie groups, Lie algebras, and their representations. It is specifically designed for students and researchers looking for a clear path through complex algebraic structures without requiring extensive prior knowledge. The text focuses on developing the theory of matrix Lie groups and their Lie algebras using only linear algebra. This approach provides more motivation and intuition for proofs than many classic texts, making it an ideal resource for self-study or classroom use. By prioritizing accessibility, the book helps learners build a strong foundation in mathematical theory. Beyond basic theory, the book includes specialized topics such as a treatment of the Baker-Campbell-Hausdorff formula. This resource serves as a valuable addition to any mathematics library, offering a structured way to understand the mathematical tools used in modern algebra.

Key Features

Elementary and rigorous approach that requires minimal prerequisites for new learners.

Focuses on matrix Lie groups and Lie algebras using only linear algebra principles.

Provides increased motivation and intuition for mathematical proofs compared to classic texts.

Includes a specialized treatment of the Baker-Campbell-Hausdorff formula.

Part of the respected Graduate Texts in Mathematics series (Volume 222).

Designed to build a strong foundation in the theory of Lie groups and representations.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
22 May 2015
Listed Since
23 October 2014

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