Theory of Lie Groups
(eBook)

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Published
Dover Publications, 2018.
Status
Available Online

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Format
eBook
Language
English
ISBN
9780486829661

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Citations

APA Citation, 7th Edition (style guide)

Claude Chevalley., & Claude Chevalley|AUTHOR. (2018). Theory of Lie Groups . Dover Publications.

Chicago / Turabian - Author Date Citation, 17th Edition (style guide)

Claude Chevalley and Claude Chevalley|AUTHOR. 2018. Theory of Lie Groups. Dover Publications.

Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)

Claude Chevalley and Claude Chevalley|AUTHOR. Theory of Lie Groups Dover Publications, 2018.

MLA Citation, 9th Edition (style guide)

Claude Chevalley, and Claude Chevalley|AUTHOR. Theory of Lie Groups Dover Publications, 2018.

Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.

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Grouped Work IDcb3735be-3ca7-710e-9c9d-d3186c516496-eng
Full titletheory of lie groups
Authorchevalley claude
Grouping Categorybook
Last Update2023-12-01 18:07:10PM
Last Indexed2024-04-24 05:16:05AM

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First LoadedJul 1, 2022
Last UsedJul 28, 2023

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    [synopsis] => Chevalley's most important contribution to mathematics is certainly his work on group theory. . . . [Theory of Lie Groups] was the first systematic exposition of the foundations of Lie group theory consistently adopting the global viewpoint, based on the notion of analytic manifold. This book remained the basic reference on Lie groups for at least two decades." - Bulletin of the American Mathematical Society Suitable for advanced undergraduate and graduate students of mathematics, this enduringly relevant text introduces the main basic principles that govern the theory of Lie groups. The treatment opens with an overview of the classical linear groups and of topological groups, focusing on the theory of covering spaces and groups, which is developed independently from the theory of paths. Succeeding chapters contain an examination of the theory of analytic manifolds as well as a combination of the notions of topological group and manifold that defines analytic and Lie groups. An exposition of the differential calculus of Cartan follows and concludes with an exploration of compact Lie groups and their representations.
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