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Reviews of Modern Physics, 1965
Summary: This article is a résumé, intended for experimentalists and other nonspecialists who have a need to know of that part of group representation theory which is employed in the spectroscopic classification of energy levels. A summary of the general properties of semisimple Lie groups, sufficient to make the treatment self-contained, is included ...
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Summary: This article is a résumé, intended for experimentalists and other nonspecialists who have a need to know of that part of group representation theory which is employed in the spectroscopic classification of energy levels. A summary of the general properties of semisimple Lie groups, sufficient to make the treatment self-contained, is included ...
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Social Choice and Welfare, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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SPIE Proceedings, 2001
The form of macroscopic physical property tensors of a crystalline structure can be determined from its magnetic or non-magnetic point group symmetry. In a ferroic crystal containing two or more equally stable domains of the same structure but of different spatial orientation, macroscopic tensorial physical properties that are different in domains ...
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The form of macroscopic physical property tensors of a crystalline structure can be determined from its magnetic or non-magnetic point group symmetry. In a ferroic crystal containing two or more equally stable domains of the same structure but of different spatial orientation, macroscopic tensorial physical properties that are different in domains ...
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Disconnected Groups as Higher Symmetry Groups
Journal of Mathematical Physics, 1965Disconnected groups are investigated to see whether they can be used as higher symmetry groups. Some disconnected groups are given which satisfy certain minimal physical conditions. Two disconnected groups are analyzed in detail using little group techniques, and it is shown how a doubling of certain multiplets results, so that particles and their ...
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Continuous symmetry measures for complex symmetry group
Journal of Computational Chemistry, 2014Symmetry is a fundamental property of nature, used extensively in physics, chemistry, and biology. The Continuous symmetry measures (CSM) is a method for estimating the deviation of a given system from having a certain perfect symmetry, which enables us to formulate quantitative relation between symmetry and other physical properties.
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1978
Let us now consider more formally the question of groups and symmetries. Mathematically a group is defined by a set of axioms, and for the sake of completeness these axioms are stated here.
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Let us now consider more formally the question of groups and symmetries. Mathematically a group is defined by a set of axioms, and for the sake of completeness these axioms are stated here.
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Symmetry without Groups: “Topological Symmetry”
2007Abstract Cover-image relations occur naturally whenever a g -----+ l (g 2”. 2) local diffeomorphism can be constructed and used to lift a strange attractor in ]Rn (n 2”. 3) to a g-fold cover in ]Rn. Local diffeomorphisms can be constructed algorithmically whenever a sylilliletry group of order g = lgl is identified and its action on ]Rn ...
Robert Gilmore, Christophe Letellier
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1978
The idea of a group is one of the great unifying ideas of mathematics. It arises in the study of symmetries, both of mathematical and of scientific objects. Very surprisingly, the examination of these symmetries leads to deep insights which are not available by direct inspection: while the notion of a group is very easy to explain, the applications of ...
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The idea of a group is one of the great unifying ideas of mathematics. It arises in the study of symmetries, both of mathematical and of scientific objects. Very surprisingly, the examination of these symmetries leads to deep insights which are not available by direct inspection: while the notion of a group is very easy to explain, the applications of ...
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2018
This chapter, which ends Part II on some consequences of the new approach, introduces an alternative prolongation theory of Klein geometries that is more geometric and intuitive than the well-known prolongation theory of a linear Lie algebra developed by Guillemin, Singer, and Sternberg.
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This chapter, which ends Part II on some consequences of the new approach, introduces an alternative prolongation theory of Klein geometries that is more geometric and intuitive than the well-known prolongation theory of a linear Lie algebra developed by Guillemin, Singer, and Sternberg.
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