Split Extension of Internal Symmetry Group by the Poincaré Group
نویسندگان
چکیده
منابع مشابه
Symmetries Shared by the Poincaré Group and the Poincaré Sphere
Henri Poincaré formulated the mathematics of Lorentz transformations, known as the Poincaré group. He also formulated the Poincaré sphere for polarization optics. It is shown that these two mathematical instruments can be derived from the two-by-two representations of the Lorentz group. Wigner’s little groups for internal space-time symmetries are studied in detail. While the particle mass is a...
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In many different fields of mathematics and physics Poincaré found many uses for the idea of a group, but not for group theory. He used the idea in his work on automorphic functions, in number theory, in his epistemology, Lie theory (on the so-called Campbell–Baker–Hausdorff and Poincaré–Birkhoff–Witt theorems), in physics (where he introduced the Lorentz group), in his study of the domains of ...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1966
ISSN: 0033-068X
DOI: 10.1143/ptp.35.315