Foundations of Physics

, Volume 27, Issue 8, pp 1179–1209 | Cite as

The representations and coupling coefficients of su(n); application to su(4)

  • D. J. Rowe
  • J. Repka
Part II. Invited Papers Dedicated to Lawrence Biedenharn


Analytical expressions for the matrices and an explicit algorithm for computing Clebsch-Gordan coupling coefficients are given forsu(4) in au(3)-coupled basis as an example of the construction for anysu(n) in au(n−1) basis. The results areinduced from the known results foru(3) by means of the vector-coherent-state (VCS) theory of induced representations. The important recent result that makes this possible is the discovery that a complete set of shift tensors for the finitedimensional representations of reductive Lie algebras can be induced, by VCS methods, from those of suitably defined subalgebras.


Matrix Element High Weight Invariant Subspace Coupling Coefficient Shift Weight 
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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • D. J. Rowe
    • 1
  • J. Repka
    • 2
  1. 1.Department of PhysicsUniversity of TorontoTorontoCanada
  2. 2.Department of MathematicsUniversity of TorontoTorontoCanada

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