### lie groups or algebras 评分:

These notes are the outgrowth of a graduate course on Lie groups I taught at the University of Virginia in 1994 In trying to find a text for the course I discovered that books on Lie groups either presuppose a knowledge of differentiable manifolds or provide a mini course on them at the beginning Since my students did not have the necessary background on manifolds I faced a dilemma: either use manifold techniques that my students were not familiar with or else spend much of the course teaching those techniques instead of teaching Lie theory To resolve this dilemma I chose to write my own notes using the notion of a matrix Lie group A matrix Lie group is simply a closed subgroup of GL n;C Although these are often called simply “matrix groups ” my terminology emphasizes that every matrix group is a Lie group ">These notes are the outgrowth of a graduate course on Lie groups I taught at the University of Virginia in 1994 In trying to find a text for the course I discovered that books on Lie groups either presuppose a knowledge of differentiable manifolds or provide a mini course on them at the beginning [更多]
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