Lie groups : an introduction through linear groups / Wulf Rossmann

hile there are many excellent books discussing the theory of Lie groups and their representations, most are not accessible to undergraduates, since they usually assume a familiarity with differential geometry, topology and functional analysis. By restricting to linear Lie groups, these requirements can be considerably reduced to multivariable calculus, linear algebra and some group theory. This is within reach of an advanced undergraduate. Traditionally, very few books on Lie groups and their representations have taken this approach, but recently some books have come out whose emphasis is linear Lie groups rather than general Lie groups and they try to make the subject accessible to a wider audience. This well-written book is the latest welcome addition to this and it will definitely help to make the subject more accessible. The author gives a very clear exposition of most of the basic topics in Lie theory and makes an effort to reduce the prerequisites to a bare minimum. All essential topics are discussed in great detail and illustrated by many examples. The author manages to cover a considerable amount of material, in spite of these minimal prerequisites. ... (MathSciNet)

Bibliogr. p. 258-260. Index