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On Lie Algebras Of Prime Characteristic by George B. Seligman



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About this book :-
This influential monograph is best studying restricted Lie algebras over fields of prime characteristic. This text present memoir is to demonstrate the applicability, under certain restrictions on the algebra and the base field, of the techniques used in the determination of all simple Lie algebras of characteristic zero. It introduces fundamental definitions, develops the Cartan decomposition, explores representation theoretic lemmas, and systematically builds up the theory of weights, roots, and types (A, B, C, D, F, G, E), ultimately achieving a full classification of finite-dimensional simple restricted Lie algebras in prime characteristic . This compact but thorough work laid the groundwork for Seligman’s later, larger book Modular Lie Algebras (1967) and played a key role in later classification results by mathematicians like Premet, Strade, Block, and Wilson.

Book Detail :-
This book has following details information.
Title: On Lie Algebras Of Prime Characteristic by George B. Seligman by NA
Publisher: American Mathematical Society
Series: eBookDirectory
Year: 1956
Pages: 93
Type: PDF
Language: English
ISBN-10 #: 082181219X
ISBN-13 #: 978-0821812198
Country: Pakistan
License: N\A
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About Author :-
The author NA NA

Book Contents :-
conver the following topics.
1. Definition 2. Restricted Lie Algebras 3. The Cartan Decomposition 4. Lemmas On Representations and Their Applications 5. Weights and Roots 6. Simple Systems of Roots 7. Existence of Simple Systems 8. Systems of Type A 9. Systems of Type D 10. Systems of Type B 11. Systems of Type C 12. Systems of Type G 13. Systems of Type F 14. Systems of Type E 15. Maximal Simple Systems 16. Classification of The Simple Algebras 17. The Classical Simple Algebras 18. The Five Exceptional Algebras

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