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Each representation of a Lie group G gives rise to Group representations from Lie algebra Lie Algebras, and Representations: An Elementary Introduction,
Introduction to representation theory 1.13 Tensor products and duals of representations of Lie algebras topics in representation theory of groups, Lie
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Semi-Simple Lie Algebras and Their Representations culminating with the introduction of Dynkin diagrams. group, or more accurately, of its Lie algebra, Eq.
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