Transformation brackets between U(n+1) -> U(n) -> SO(n) and U(n+1) -> SO(n+1) -> SO(n)

Elena Santopinto; Roelof Bijker; Francesco Iachello

doi:10.1063/1.531689

Transformation brackets between U(n+1) -> U(n) -> SO(n) and U(n+1) -> SO(n+1) -> SO(n)

Mathematical Physics 2009-11-11 v1 High Energy Physics - Phenomenology math.MP Nuclear Theory

Authors: Elena Santopinto , Roelof Bijker , Francesco Iachello

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Abstract

We derive a general expression for the transformation brackets between the chains U(n+1) -> U(n) -> SO(n) and U(n+1) -> SO(n+1) -> SO(n).

Keywords

transformation brackets unitary group special orthogonal group lie chain representation theory

Cite

@article{arxiv.math-ph/0512036,
  title  = {Transformation brackets between U(n+1) -> U(n) -> SO(n) and U(n+1) -> SO(n+1) -> SO(n)},
  author = {Elena Santopinto and Roelof Bijker and Francesco Iachello},
  journal= {arXiv preprint arXiv:math-ph/0512036},
  year   = {2009}
}