On Lie algebras of prime characteristic / by George B. Seligman.

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Bibliographic Details
Online Access: Full Text (via ProQuest)
Main Author: Seligman, George B. (Author)
Format: Thesis eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 1956.
Series:Memoirs of the American Mathematical Society ; no. 19.
Subjects:
Table of Contents:
  • I. DEFINITIONS
  • II. RESTRICTED LIE ALGEBRAS
  • III. THE CARTAN DECOMPOSITION
  • IV. LEMMAS ON REPRESENTATIONS AND THEIR APPLICATIONS
  • V. WEIGHTS AND ROOTS
  • VI. SIMPLE SYSTEMS OF ROOTS
  • VII. EXISTENCE OF SIMPLE SYSTEMS
  • VIII. SYSTEMS OF TYPE A
  • IX. SYSTEMS OF TYPE D
  • X. SYSTEMS OF TYPE B
  • XI. SYSTEMS OF TYPE C
  • XII. SYSTEMS OF TYPE G
  • XIII. SYSTEMS OF TYPE F
  • XIV. SYSTEMS OF TYPE E
  • XV. MAXIMAL SIMPLE SYSTEMS
  • XVI. CLASSIFICATION OF THE SIMPLE ALGEBRAS
  • XVII. THE CLASSICAL SIMPLE ALGEBRAS
  • XVIII. THE FIVE EXCEPTIONAL ALGEBRAS.