Titlebook: Lie Groups, Lie Algebras, and Representations; An Elementary Introd Brian C. Hall Textbook Nov 20101st edition Springer Science+Business Me

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The Baker—Campbell—Hausdorff FormulaIn this chapter, we will, as usual, restrict our attention mainly to matrix Lie groups. Nevertheless, the proofs of the main results are the same for general Lie groups, provided one has already established the basic results about the Lie algebra and the exponential mapping for general Lie groups.

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Semisimple Lie Algebrasply as a description of the structure of semisimple Lie algebras, without any mention of representation theory, I think it is helpful to have the representations in mind. The representation theory, especially in light of our experience with sl(3; ℂ), motivates the notions of Cartan subalgebras, roots, and the Weyl group.

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0072-5285 ate students in mathematics and physics. Although there are already several excellent books that cover many of the same topics, this book has two distinctive features that I hope will make it a useful addition to the literature. First, it treats Lie groups (not just Lie alge­ bras) in a way that min

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ese: The Dignity of Death, edited by Kazumasa Hoshino. Selections from those materials have been reworked for an English audience and now appear, along with new essays, in this volume. The field of comparative bioethics is only in its infancy. We are deeply grateful to Prof. Kazumasa Hoshino, one of

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