Theorems on the index of a symmetry class of tensors

References

• Curtis , C. W. and Reiner , I. 1962 . Representation Theory of Finite Groups and Associative Algebras , New York, London : Interscience .
   Google Scholar
• Brender , M. 1976 . Spherical functions on the symmetric groups . J. Algebra , 32 : 302 – 314 .
   Google Scholar
• Freese , R. 1973 . Inequalities for generalized matrix functions based on arbitrary characters . Linear Algebra and Its Applications , 7 : 337 – 345 .
   Google Scholar
• Marcus , M. 1973 . Finite Dimensional Multilinear Algebra , Marcel Dekker . Part 1
   Google Scholar
• Marcus , M. 1975 . “ Finite Dimensional Multilinear Algebra ” . Marcel Dekker . Part 2
   Google Scholar
• Marcus and Wang , Bo-Ying . 1980 . Some variations on the numerical range . Linear and Multilinear Algebra , 9 : 111 – 120 .
   Google Scholar
• Marcus , M. and Chollet , J. 1982 . The index of a symmetry class of tensors . Linear and Multilinear Algebra , 11 : 277 – 281 .
   Google Scholar
• Marcus , M. and Minc , H. 1965 . Generalized matrix functions . Trans. Amer, Math. Soc. , 116 : 316 – 329 .
   Google Scholar
• Merris , R. 1975 . Equality of decomposable symmetrized tensors . Canad. J. Math. , 27 ( 25 ) : 1022 – 1024 .
   Web of Science ®Google Scholar
• Merris , R. 1977 . Non-zero decomposable symmetrized tensors . Linear Algebra and Its Applications , 17 ( 25 ) : 287 – 292 .
   Web of Science ®Google Scholar
• Merris , R. 1977 . On vanishing decomposable symmetrized tensors . Linear and Multilinear Algebra , 5 ( 25 ) : 79 – 86 .
   Google Scholar
• Merris , R. 1978 . Applications of spherical functions in multilinear algebra . Linear Algebra and Its Applications , 20 ( 25 ) : 77 – 86 .
   Web of Science ®Google Scholar
• Merris , R. and da Silva , J. A. D. 1975 . Generalized Schur functions . J. Algebra , 35 ( 25 ) : 442 – 448 .
   Web of Science ®Google Scholar
• Merris , R. 1979 . Recent advances in symmetry class of tensors . Linear and Multilinear Algebra , 7 ( 25 ) : 317 – 328 .
   Google Scholar
• Schur , I. 1918 . Über endliche Gruppen und hermitesche Forman . Math. Z. , 1 ( 25 ) : 184 – 207 .
   Google Scholar
• Serre , J. P. Linear Representation of Finite Groups , New York, Heidelberg, Berlin : Springer-Verlag . [MR 56, 8675]
   Google Scholar
• Travis , D. 1974 . Spherical functions on finite groups . J. Algebra , 29 : 65 – 76 .
   Google Scholar