This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a proper balance between, and a natural combination of, the algebraic and geometric aspects of Lie theory, not only in technical proofs but also in conceptual viewpoints. For example, the orbital geometry of adjoint action, is regarded as the ...
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This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a proper balance between, and a natural combination of, the algebraic and geometric aspects of Lie theory, not only in technical proofs but also in conceptual viewpoints. For example, the orbital geometry of adjoint action, is regarded as the geometric organization of the totality of non-commutativity of a given compact connected Lie group, while the maximal tori theorem of ???. Cartan and the Weyl reduction of the adjoint action on G to the Weyl group action on a chosen maximal torus are presented as the key results that provide a clear-cut understanding of the orbital geometry.
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Add this copy of Lectures on Lie Groups: 2 (Series on University to cart. $14.60, very good condition, Sold by Halcyon Books rated 4.0 out of 5 stars, ships from LONDON, LONDON, UNITED KINGDOM, published 2000 by World Scientific Publishing Co P.
Add this copy of Lectures on Lie Groups (University Mathematics) to cart. $21.25, very good condition, Sold by Suffolk Books rated 4.0 out of 5 stars, ships from center moriches, NY, UNITED STATES, published 2000 by World Scientific Publishing Comp.
Add this copy of Lectures on Lie Groups (University Mathematics) to cart. $54.87, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2000 by World Scientific Publishing Co.
Add this copy of Lectures on Lie Groups (University Mathematics) to cart. $65.59, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2000 by World Scientific Publishing Co.
