Lie groups and algebras, the exponential map, the adjoint action, Lie's three theorems, Lie subgroups, the maximal torus theorem, the Weyl group, some topology of Lie groups, some representation theory: Schur's Lemma, the Peter-Weyl theorem, roots, weights, classification of Lie groups, the classical groups.
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University of California, Santa Cruz
Reviews, study tips, and grade data for MATH 227 at UCSC. Lie groups and algebras, the exponential map, the adjoint action, Lie's three theorems, Lie…
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