000			01919nam a2200253 4500
008			220716b |||||||| |||| 00| 0 eng d
020			_a9788184893229
082			_a512.482 _bERD
100			_aErdmann, Karin
245			_aIntroduction to lie algebras
260			_aNew Delhi: _bSpringer India, _c2006.
300			_ax, 251p.; _bpbk; _c23cm.
440			_aspringer undergraduate mathematics series
504			_aIncludes bibliography and index
520			_aLie groups and Lie algebras have become essential to many parts of mathematics and theoretical physics, with Lie algebras a central object of interest in their own right. Based on a lecture course given to fourth-year undergraduates, this book provides an elementary introduction to Lie algebras. It starts with basic concepts. A section on low-dimensional Lie algebras provides readers with experience of some useful examples. This is followed by a discussion of solvable Lie algebras and a strategy towards a classification of finite-dimensional complex Lie algebras. The next chapters cover Engel's theorem, Lie's theorem and Cartan's criteria and introduce some representation theory. The root-space decomposition of a semisimple Lie algebra is discussed, and the classical Lie algebras studied in detail. The authors also classify root systems, and give an outline of Serre's construction of complex semisimple Lie algebras. An overview of further directions then concludes the book and shows the high degree to which Lie algebras influence present-day mathematics. https://link.springer.com/book/10.1007/1-84628-490-2#:~:text=Introduction%20to%20Lie%20Algebras%20covers,in%20mathematics%20and%20theoretical%20physics.
650			_aDynkin diagrams
650			_aLie algebras
650			_aRoot systems
650			_aTheoretical physics
650			_aAlgebra
650			_aHomomorphism
710			_aWidon, Mark J.
942			_2ddc _cTD
999			_c57022 _d57022