Includes bibliographical references (volume 1, pages 430-433) and index.
Contents
Part 1. Chapters 1-3. 1. Lie algebras. ; Enveloping algebra of a Lie algebra ; Representations ; Nilpotent Lie algebras ; Solvable lie algebras ; Semi-simple Lie algebras ; Ado's theorem ; Exercises -- Free Lie algebras. Enveloping bigebra of a Lie algebra ; Free Lie algebras ; Enveloping algebra of the free Lie algebra ; Central filtrations ; Magnus algebras ; The Hausdorff series ; Convergence of the Hausdorff series (real or complex case) ; Convergence of Hausdorff series (ultrametic case) ; Appendix. Möbius function ; Exercises -- Lie groups. Lie groups ; Group of tangent vectors to a Lie group ; Passage from a Lie group to its Lie algebra ; Passage from Lie algebras to Lie groups ; Formal calculations in Lie groups ; Real and complex Lie groups ; Lie groups over an ultrametric field ; Lie groups over R or Q [subscript]p ; Commuators, centralizers and normalizers in a Lie group ; The automorphism group of a Lie group ; Appendix. Operations on linear representations ; Exercises -- Historical note.
