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Internal multiplicities in the Cartan classes

Author

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  • Amar, V.
  • Dozzio, U.
  • Oleari, C.

Abstract

It is shown how the evaluation of the internal multiplicities of a simple Lie group G(n) is possible by means of the reduction G(n) → G(n − 1) ⊗ U(1). An algorithm is then given for evaluating the branching multiplicity G(n) → G(n − 1) ⊗ U(1) when G(n) = SO(2n) and G(n) = SO(2n + 1).

Suggested Citation

  • Amar, V. & Dozzio, U. & Oleari, C., 1982. "Internal multiplicities in the Cartan classes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 114(1), pages 341-344.
    • Handle: RePEc:eee:phsmap:v:114:y:1982:i:1:p:341-344
    DOI: 10.1016/0378-4371(82)90311-9
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    1. Gruberg, Martin, 1969. "An Introduction to the Legal System. By Jay A. Sigler. (Homewood, Illinois: Dorsey Press, 1968. Pp. 248. $5.50.)," American Political Science Review, Cambridge University Press, vol. 63(3), pages 954-955, November.
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