Abstract
A package of computer programs was developed, which can be used for the calculation of the bases of irreducible representations of SU(ℓ + 1) or direct products SU(ℓ + 1) x SU(ℓ1 +1) x SU(ℓ2 + 1) x···, and of the bases of irreducible representations of the maximally embedded subalgebras SU(ℓ’ + 1), SO(2ℓ’), SO(2ℓ’ + 1), SP(2ℓ’), ℓ’ ≤ ℓ or direct products of these. [1] The representations of SU(ℓ + 1) (or the direct products SU(ℓ + 1) x SU(ℓ1 + 1) x SU(ℓ2 + 1) x ···) can be of any symmetry, i.e. the programs are not limited to the completely symmetric case. Beyond obtaining the branching laws for the representations of SU(ℓ + 1) with respect to the subalgebras listed above, the bases for the irreducible representations of the subalgebras are calculated explicitely in terms of the basis vectors of SU(ℓ + 1).
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References
B. Gruber, M. Lorente, T. Nomura, and M. Ramek, J. Phys. A, in press
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© 1989 Plenum Press, New York
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Ramek, M., Gruber, B. (1989). Computerized Symmetrization of Quantum States. In: Gruber, B., Iachello, F. (eds) Symmetries in Science III. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0787-7_39
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DOI: https://doi.org/10.1007/978-1-4613-0787-7_39
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8082-8
Online ISBN: 978-1-4613-0787-7
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