Abstract
The most effective tools in applying group theoretical methods to physical problems are the representations of the groups in “physical” spaces and the characters of these representations. Of all the possible representations, those by linear operators, or more specifically, by matrices, are the most essential ones. The basic spaces are the linear (vector) spaces, which are discussed first in this chapter. Then the properties of different representations are outlined with special emphasis on the irreducible ones. Finally we investigate product representations of groups.
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References
E. Fick: Einführung in die Grundlagen der Quantentheorie (Akademische Verlagsgesellschaft, Wiesbaden 1972)
J.D. Bjorken, S.D. Drell: Relativische Quantenfeldtheorie, BI Taschenbuch 101/101a (Bibliographisches Institut, Mannheim 1967)
R.S. Mulliken: Electronic structures of polyatomic molecules and valence IV: Electronic states, quantum theory of double bond. Phys. Rev. 43, 279 (1933)
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© 1996 Springer-Verlag Berlin Heidelberg
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Ludwig, W., Falter, C. (1996). Representations of Finite Groups. In: Symmetries in Physics. Springer Series in Solid-State Sciences, vol 64. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79977-8_4
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DOI: https://doi.org/10.1007/978-3-642-79977-8_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60284-2
Online ISBN: 978-3-642-79977-8
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