Title Statements
- Full title :Lie groups and Lie algebras / Nicolas Bourbaki.
Edition Statements
- Publication Date:©1975-
Publication Statements
- Publisher(s):Addison-Wesley, Hermann
- Place of Publication:Paris
- Language:eng
- Publication Date:©1975-
Notes
Translation of Groupes et algèbres de Lie.
No more published.
The Physical Object
- Description:volumes ; : 24 cm.
Edition Identifiers
- ISBN:020100643X, 9780201006438, 2705658262, 9782705658267
- oclc:ocm01827580
- LC Classification:QA387
- Dewey Decimal:512/.55
Table of Contents
Volume 1. 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.
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