Abstract Lie Algebras
(eBook)

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Published
Dover Publications, 2013.
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eBook
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Available Online
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Language
English
ISBN
9780486783468
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APA Citation (style guide)

David J. Winter., & David J. Winter|AUTHOR. (2013). Abstract Lie Algebras. Dover Publications.

Chicago / Turabian - Author Date Citation (style guide)

David J. Winter and David J. Winter|AUTHOR. 2013. Abstract Lie Algebras. Dover Publications.

Chicago / Turabian - Humanities Citation (style guide)

David J. Winter and David J. Winter|AUTHOR, Abstract Lie Algebras. Dover Publications, 2013.

MLA Citation (style guide)

David J. Winter, and David J. Winter|AUTHOR. Abstract Lie Algebras. Dover Publications, 2013. Web.

Note! Citation formats are based on standards as of July 2010. Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy.
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Grouped Work IDf9f17556-23e0-223b-d6f8-29ca4ef52a97
Full titleabstract lie algebras
Authorwinter david j
Grouping Categorybook
Last Update2020-10-29 14:20:11PM
Last Indexed2021-05-07 02:19:54AM

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First LoadedDec 30, 2020
Last UsedDec 30, 2020

Hoopla Extract Information

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    [synopsis] => Solid but concise, this account of Lie algebra emphasizes the theory's simplicity and offers new approaches to major theorems. Author David J. Winter, a Professor of Mathematics at the University of Michigan, also presents a general, extensive treatment of Cartan and related Lie subalgebras over arbitrary fields. Preliminary material covers modules and nonassociate algebras, followed by a compact, self-contained development of the theory of Lie algebras of characteristic 0. Topics include solvable and nilpotent Lie algebras, Cartan subalgebras, and Levi's radical splitting theorem and the complete reducibility of representations of semisimple Lie algebras. Additional subjects include the isomorphism theorem for semisimple Lie algebras and their irreducible modules, automorphism of Lie algebras, and the conjugacy of Cartan subalgebras and Borel subalgebras. An extensive theory of Cartan and related subalgebras of Lie algebras over arbitrary fields is developed in the final chapter, and an appendix offers background on the Zariski topology.
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