Abstract
This chapter presents basic concepts and results of the theory of Lie groups and Lie algebras which will be used in the sequel. As a rule, the results will be given without proofs. They can be found, for example, in the books [5, 21, 22, 33, 38, 58]. The “null” section contains the information from Algebra, Topology, and Functional Analysis which is used in the present book.
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Footnotes
See the paper “The center of the infinitesimal group ring” by I. M. Gelfand (Math. sb., 1950, vol. 26 (68), No. 1, pp. 103–112).
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© 1991 Springer Science+Business Media Dordrecht
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Vilenkin, N.J., Klimyk, A.U. (1991). Elements of the Theory of Lie Groups and Lie Algebras. In: Representation of Lie Groups and Special Functions. Mathematics and Its Applications (Soviet Series), vol 72. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3538-2_2
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DOI: https://doi.org/10.1007/978-94-011-3538-2_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5566-6
Online ISBN: 978-94-011-3538-2
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