R. Merris and J. A. Dias da Silva, Generalized Schur
functions, J. Algebra 35 (1975), 442-448. Math
Reviews 53#2979.
Extending an idea from [R. Merris and M. Newman, An explicit
isomorphism with applications to inequalities for matrix functions,
J. Algebra 25 (1973), 468-474], the authors explore
generalized matrix functions based on arbitrary complex valued
functions of the symmetric group. (Extensions of a different sort
can be found in [M. Ishaq and R. Merris, Matrix functions afforded
by entries of unitary representations, Linear Algebra Appl.
25 (1979), 255-269].) Subsequent work in this area is summarized
in [R. Merris, Multilinear Algebra, Gordon
& Breach, Amsterdam, 1997, pp 213-223]. Among the publications citing this
article are
M. Marcus, Finite Dimensional Multilinear Algebra Part II,
Marcel Dekker, NY, 1975.
E. H. Lieb, Advances in Math. 20 (1976), 174-178.
J. A. Dias da Silva, Linear & Multilinear Algebra 7
(1979), 343-357.
G. N. de Oliveira and J. A. Dias da Silva, Linear Algebra
Appl. 28 (1979), 161-176.
J. A. Dias da Silva, Portugaliae Math. 39 (1980), 441-453.
J. A. Dias da Silva, Linear Algebra Appl. 40 (1981),
161-182.
J. A. Dias da Silva and Ma. da Purificacao Coelho, Linear
Algebra Appl. 94 (1987), 165-179.
C. F. Chan, Linear & Multilinear Algebra 27 (1990),
189-198.
J. A. Dias da Silva and Ma. da Purificacao Coelho, Linear
Algebra Appl. 140 (1990), 1-11.
C. F. Chan, Linear & Multilinear Algebra
34 (1993), 247-259.
E. A. Carlen and E. H. Lieb, Communications in Mathematical
Physics 155 (1993), 27-46.
T. Pate, Linear Algebra Appl. 212/213 (1994), 31-44.
T. Pate, Linear & Multilinear Algebra 38 (1995),
295-302.
C. F. Chan, Linear Algebra Appl. 239 (1996), 15-27.
T. Lei, Acta Mathematica Sinica (Chinese) 39 (1996), 488-494.
T. Pate, Linear Algebra Appl. 254 (1997), 427-466.
T. Lei, Chinese Science Bull. 42 (1997), 22-26.
T. Pate, Linear Algebra Appl. 255 (1997), 203-242.
M.-P. Gong, Linear Algebra Appl. 257 (1997), 65-75.
T.-G. Lei, Linear Algebra Appl. 263 (1997), 311-332.
R. Bhatia, Matrix Analysis, Springer-Verlag, 1997.
E. A. Carlin and P. Kree, J. Functional Anal. 158
(1998), 475-508.