000			01727cam a2200337 i 4500
001			3161002
005			20250612190009.0
008			760312s1975 fr b 001 0 eng
010			_a
020			_a9783540642428
040			_aCSL _cCSL
041	1		_aeng _hfre
084			_aB27m09 M9 NBHM _qCSL
100	1		_aBourbaki, Nicolas. _eauthor.
245	1	0	_aLie groups and Lie algebras
260			_aParis : _bSpringer, _c1975.
300			_a1 v.(xvii, 450 p.) ; _c24 cm.
440		0	_aElements of mathematics _9812682
490	0		_aElements of mathematics
500			_aTranslation of Groupes et algèbres de Lie.
500			_aIncludes index.
504			_aBibliography: v. 1, p. 430-433.
505	0		_aPart 1. Chapters 1-3.
520			_aThis is the softcover reprint of the English translation of 1975 (available from Springer since 1989) of the first 3 chapters of Bourbaki's 'Groupes et algèbres de Lie'. The first chapter describes the theory of Lie algebras, their derivations, their representations and their enveloping algebras. In Ch. 2, free Lie algebras are introduced in order to discuss the exponential, logarithmic and the Hausdorff series. Ch. 3 deals with the theory of Lie groups over R and C and ultrametric fields. It describes the connections between their local and global properties, and the properties of their Lie algebras. It is one of the very best references on this subject.
650		0	_aLie groups. _9716545
650		0	_aLie algebras.
650		0	_afields of point distribution _9812771
650		0	_ainvariant differential forms _9812772
650		0	_ainvariant differential forms _9812772
942			_2CC _n0 _cTEXL _hB27m09 M9 NBHM
999			_c1431681 _d1431681