By Wu Yi Hsiang
A concise and systematic advent to the idea of compact hooked up Lie teams and their representations, in addition to a whole presentation of the constitution and class concept. It makes use of a non-traditional strategy and association. there's a stability among, and a typical mixture of, the algebraic and geometric elements of Lie conception, not just in technical proofs but additionally in conceptual viewpoints. for instance, the orbital geometry of adjoint motion is thought of as the geometric association of the totality of non-commutativity of a given compact hooked up Lie crew, whereas the maximal tori theorem of E. Cartan and the Weyl aid of the adjoint motion at the G to the Weyl workforce motion on a selected maximal torus are provided because the key effects that offer an figuring out of the orbital geometry.
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