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J. Math. Phys. 26, 18 (1985); http://dx.doi.org/10.1063/1.526782 (3 pages)
A note on the multiplicity‐free unitary irreps of SL(3,R)
(Received 24 January 1984; accepted 22 June 1984)
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Add to FacebookUnitary irreps of ∼(SL(3,R)) which contain a representation D j of SU(2) at most once are known to exist with SU(2) content j=k+2n (n=0,1,2,.. and k=0, 1/2 ,1). Güler, in a recent paper, claims that there also exist multiplicity‐free unitary representations with SU(2) content j=k0, k0+1, k0+2,..., for k0>3. We show that such representations do not exist for k0>1.
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Y. Dothan, M. Gell-Mann, and Y. Ne'eman, Phys. Lett. 17, 148 (1965JMAPAQ000016000002000298000001).
Y. Güler, J. Math. Phys. 26, 21 (1985JMAPAQ000026000001000021000001).
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