Course Lie Groups PDF
A first course on group theory introduces a group as a set with two operations –multiplication and inversion – satisfying appropriate axioms. However the subject only begins to come to life when groups act on other sets: it is easier to think of the symmetric group Sn as the group of permutations of the numbers {1, 2, . . . , n} than as a multiplication table. But these same groups also appear acting on other sets, for example the symmetric group S4 is isomorphic to the symmetries of the cube, and so acts on R³ by rotations. Such linear actions of groups are frequent in real life. They are called representations and they are studied side-by-side together with the groups considered as objects in their own right.
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| Course Lie Groups PDF |
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Download PDF 1: Course Lie Groups : HERE
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