Castilho Alcarás, J. A.Biedenharn, L. C.2022-04-292022-04-291978-01-01Journal of Mathematical Physics, v. 20, n. 8, p. 1615-1621, 1978.0022-2488http://hdl.handle.net/11449/231072The coupling of unitary self-conjugate SL(3,R) multiplicity-free irreps is explicitly calculated. It is proven that pair-wise coupling of a finite number of these self-conjugate irreps never contains a continuum SL(3,R) irrep which is multiplicity-free. The significance of SL(3,R) symmetry in nuclear and hadronic systems is discussed, including implications for the coupling of quarkels. © 1979 American Institute of Physics.1615-1621engArtigo10.1063/1.5242662-s2.0-36749109159