A Global Formulation Of Lie Theory of Transformational by Palais, Richard

By Palais, Richard

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G. Watson, and B. P. Winnewisser each read and corrected the proofs of the book, and my wife √Čva, together with M. B. Wadworth and A. M. Lyyra, helped me to compare the proofs with the typewritten manuscript; I am very grateful for their help. I would especially like to thank Helen Letaif who typed the entire final draft of the manuscript and a special effort to ensure a well produced and consistent product. Assisting in the typing of the first draft and in typing the modifications that I made to the second draft were Denise Charette, Gloria Dumoulin, Marilyn Nadon, and Lorette Ernst; I very much appreciate all their help.

We believe we explain everything one needs to know about group theory in order to achieve this goal. More about the formal theory of groups is given in, for example, Wigner (1959) and Tinkham (1964). We further believe that the best way to learn is by studying examples (although this necessarily takes longer than simply quoting the 'rules') and we choose examples that we feel are the most useful for the high resolution spectroscopist. These examples are not chosen in order to demonstrate the stunning capabilities of the mighty machinery of group theory (although we do show how group theory can efficiently enable one to determine the nuclear spin statistical weights of the highly symmetrical molecule 13C60).

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