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The book is intended for graduate students of theoretical physics (with a background in quantum mechanics) as well as researchers interested in applications of Lie group theory and Lie algebras in physics. The emphasis is on the inter-relations of representation theories of Lie groups and the corresponding Lie algebras. Contents: Introduction to Groups; Representation of Groups; Lie Algebras; Relationship between Lie Algebras and Lie Groups; Irreducible Tensor Representations and Young Tableau; Clifford Algebra; Lorentz Group and the Dirac Equation; Yang-Mills Gauge Theory; Quark Model and SU

Lie algebras. --- Group theory. --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Algebras, Lie --- Algebra, Abstract --- Algebras, Linear --- Lie groups --- Textbooks. --- Study and teaching (Higher)