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By Born M.

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3 Matrix Lie Groups . . . . . . . . . . . 4 Lie Algebras . . . . . . . . . . . . . . . . . 1 Lie Algebras as ‘Abstract’ Objects: Generalities. 2 Constructing New Lie Algebras from Given Ones . . . . . . . . . . . 3 Quotient Lie Algebras . . . . . . . . . 4 Direct Sum Lie Algebras . . . . . . . . 5 Semidirect Sum of Two Lie Algebras . . . . 6 Lie Algebras: Concrete Examples. . . . . . 5 Relation Between Lie Groups and Lie Algebras .

2 Ladder Operators . . . . . . . . . . 3 Eigenvalues and Eigenvectors of L2 and L3 . 4 Matrix Elements . . . . . . . . . . 5 Summary . . . . . . . . . . . . 9 Reducing Tensor Product Representations of suð2Þ . . 10 Super Lie Algebras . . . . . . . . . . . . . References. . . . . . . . . . . . . . . . . . . 8 25 Generalized Functions. . . . . . 1 Introduction . . . . . . . 3 The Rigorous Formalism . . . 4 Problems .

384 384 385 386 387 387 388 390 391 . . . . . . . . . . . . . . . . . . . . . . . . 393 393 394 396 398 398 ..... ..... Space ..... . . . . . . . . . . . . . . . . . . . . . 401 401 401 402 402 403 27 Algebras, States, Representations. . . . . . . . . . 1 Introduction . . . . . . . . . . . . . . . 2 Algebras: Generalities . . . . . . . . . . . 3 Normed Ã-Algebras: Banach Ã-Algebras.

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