Rank dependency of group properties

Brian G. Wybourne

Physica A: Statistical Mechanics and its Applications, 1982, vol. 114, issue 1, 350-360

Abstract: The search for Grand Unified Theories in physics has focussed attention on the need to know how the properties of Lie groups depend explicitly on their rank. Some properties for some groups are essentially rank-independent while for other groups they may be explicitly rank-dependent. The current status of such properties is reviewed. Specific examples relating to the tensor and spinor representations of the orthogonal and rotation groups are considered together with the n-dependence of the group properties of the finite groups Sn and An.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:114:y:1982:i:1:p:350-360

DOI: 10.1016/0378-4371(82)90313-2

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