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Viser: Abstract Lie Algebras
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Abstract Lie Algebras Vital Source e-bog
David J Winter
(2013)
Dover Publications
136,00 kr.
Leveres umiddelbart efter køb
Abstract Lie Algebras
David J. Winter
(2008)
Sprog: Engelsk
Dover Publications, Incorporated
118,00 kr.
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Detaljer om varen
- Vital Source searchable e-book (Reflowable pages): 160 sider
- Udgiver: Dover Publications (December 2013)
- ISBN: 9780486783468
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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Bookshelf online: 5 år fra købsdato.
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Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: -1 sider kan printes ad gangen
Copy: højest -1 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- Paperback: 160 sider
- Udgiver: Dover Publications, Incorporated (Januar 2008)
- ISBN: 9780486462820
Solid but concise, this account of Lie algebra emphasizes the theory's simplicity and offers new approaches to major theorems. It also presents a general, extensive treatment of Cartan and related Lie subalgebras over arbitrary fields. Contents include introductory material on prerequisites for modules and basic material on nonassociative algebras. 1972 edition.
Preface1. Modules2. Nonassociative Algebras3. Lie Algebras of Characteristic
04. Lie Algebras of Arbitrary CharacteristicAppendix: The Zariski TopologyReferencesIndex
04. Lie Algebras of Arbitrary CharacteristicAppendix: The Zariski TopologyReferencesIndex
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