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Abstract Lie Algebras David J. Winter 1972 1st Ed. Hardcover With Dust Jacket
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“Moderate shelfwear to dust jacket. Minor shelfwear to book clean and no markings or highlighter.”
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eBay item number:311956270074
Item specifics
- Condition
- Very Good
- Seller Notes
- “Moderate shelfwear to dust jacket. Minor shelfwear to book clean and no markings or highlighter.”
- Features
- First Edition Hardcover With Dust Jacket
- Product Type
- Textbook
- Subject
- Mathematics
- ISBN
- 9780262230513
- EAN
- 9780262230513
- Publication Year
- 1972
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Abstract Lie Algebras
- Item Height
- 1in
- Item Length
- 9in
- Publisher
- MIT Press
- Item Width
- 6in
- Item Weight
- 17.6 Oz
- Number of Pages
- 176 Pages
About this product
Product Information
One purpose of this book is to give a solid but compact account of the theory of Lie algebras over fields of characteristic 0, with emphasis on the basic simplicity of the theory and on new approaches to the major theorems. Another is to give a general and extensive treatment of Cartan and related sub-algebras of Lie algebras over arbitrary fields. The first two chapters present preliminary material on modules and non-associative algebras. This is followed by a compact self-contained development of the theory of Lie algebras of characteristic 0, covering the following topics: Solvable and nilpotent Lie algebras and the theorems of Lie and Cartan; Cartan subalgebras and Cartan's criteria for solvability and semisimplicity; Levi's radical splitting theorem and the complete reducibility of representations of semisimple Lie algebras; The theory of abstract root systems and the classification of semisimple Lie algebras; The isomorphism theorem for semisimple Lie algebras and their irreducible modules; and automorphisms of Lie algebras and the conjugacy of Cartan subalgebras and Borel subalgebras. The last chapter develops an extensive theory of Cartan and related subalgebras of Lie algebras over arbitrary fields, covering the following topics: Lie algebras graded by a group; nilpotent Lie algebras and their representations; Engel subalgebras and Fitting subalgebras; Cartan subalgebras; and tori in Lie p-algebras.
Product Identifiers
Publisher
MIT Press
ISBN-10
0262230518
ISBN-13
9780262230513
eBay Product ID (ePID)
69408
Product Key Features
Publication Name
Abstract Lie Algebras
Format
Hardcover
Language
English
Publication Year
1972
Type
Textbook
Number of Pages
176 Pages
Dimensions
Item Length
9in
Item Height
1in
Item Width
6in
Item Weight
17.6 Oz
Additional Product Features
Lc Classification Number
Qa251
Copyright Date
1972
Target Audience
Scholarly & Professional
Topic
Algebra / Abstract, General
Lccn
70-165073
Dewey Decimal
512/.482
Dewey Edition
22
Illustrated
Yes
Genre
Mathematics
Item description from the seller
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eBay item number:311956270074
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