000			00334nam a2200133Ia 4500
999			_c185925 _d185925
020			_a9780486462820
040			_cCUS
082			_a512.482 _bWIN/A
100			_aWinter, David J.
245		0	_aAbstract Lie algebras/ _cDavid J. Winter.
260			_aNew York: _bDover, _c2010.
300			_aviii, 150 p. ; _c22 cm.
440			_aDover books on mathematics.
505			_aPreface; 1.1 Introduction; 1.2 Complete Reducibility; 1.3 Ascent and Descent; 1.4 Jordan Decomposition; 1.5 Fitting Decomposition; 1 Modules; 2.1 Introduction; 2.2 Ascent and Descent; 2.3 Translations and the Multiplication Algebra; 2.4 Derivations; 2.5 Solvability; the Radical of u; 2.6 Simplicity and Semisimplicity; 2.7 Nonassociative Algebras with Invariant Forms; 2.8 Lie Algebras with Invariant Forms; 2 Nonassociative Algebras; 3.1 Introduction; 3.2 Nilpotent Lie Algebras; Engel's Theorem; 3.3 Cartan Subalgebras; 3.4 Solvable Lie Algebras. 3.5 Cartan's Criteria3.6 Existence of Complements; 3.7 Classification of Split Semisimple Lie Algebras; 3.8 Automorphisms; Conjugacy Theorems; 3 Lie Algebras of Characteristic 0; 4.1 Introduction; 4.2 A-graded Lie Algebras; 4.3 Nilpotent Lie Algebras; 4.4 Cartan Subalgebras; 4.5 The Toral Structure of a Lie p-Algebra; 4.6 Exponentials; 4 Lie Algebras of Arbitrary Characteristic; Appendix The Zariski Topology; References; Index.
650			_aLie algebras
942			_cWB16