Elementary divisors of transformations related to tensor powers

References

• Aitken , A. C. 1935 . The normal form of compound and induced matrices . Proc. London Math. Soc. , 38 ( 2 ) : 354 – 376 .
   Google Scholar
• Coleman , A. J. 1966 . Induced Representations with Applications to S_n and GL_n , Kingston : Queen's University .
   Google Scholar
• Curtis , C. and Reiner , I. 1962 . Representation Theory of Finite Groups and Associative Algebras , New York : Wiley .
   Google Scholar
• Flanders , H. 1973 . On the minimal polynomial of a tensor product or exterior power . Rev. Roumaine Math. Pures Appl. , 18 : 1195 – 1199 .
   Google Scholar
• Gantmacher , F. R. 1959 . The Theory of Matrices , New York : Chelsea .
   Google Scholar
• Gauger , M. A. 1976 . Elementary divisors of induced transformations on tensors via the . Linear and Multilinear Algebra , 3 : 249 – 253 .
   Google Scholar
• Hunter , D. B. 1967 . The reduction of a direct product of compound matrices . Quart. J. Math. Oxford , 18 ( 2 ) : 199 – 206 .
   Google Scholar
• Hunter , D. B. 1970 . The canonical form of invariant matrices . Proc. Camb. Phil. Soc. , 68 ( 2 ) : 21 – 25 .
   Google Scholar
• Jacobson , N. 1962 . Lie Algebras , New York : Wiley .
   Google Scholar
• Knutson , D. “ λ-rings and the representation theory of the symmetric group ” . In Lecture Notes in Mathematics,No.308
   Google Scholar
• Kostka , C. 1882 . Uber symmetrische functidnen . Crelle's Journal , 93 : 89 – 123 .
   Google Scholar
• Kostka , C. 1907 . Tafein und formeln fiir symmetrische functionen . Jahresb. d. deutschen Math.-Verein , 16 : 429 – 450 .
   Google Scholar
• Littlewood , D. E. 1936 . On induced and compound matrices . Proc. London Math. Soc. , 40 ( 2 ) : 370 – 381 .
   Google Scholar
• Marcus , M. and Watkins , W. 1974 . Elementary divisors of derivations . Linear and Multilinear Algebra , 2 ( 2 ) : 65 – 80 .
   Google Scholar
• McFall , J. D. 1976 . “ Elementary Divisors of Tensor Products and Related Transformations ” . In Ph.D. Thesis , University of Waterloo .
   Google Scholar
• Merris , R. and Rashid , M. A. 1974 . The dimensions of certain symmetry classes of tensors . Linear and Multilinear Algebra , 2 : 245 – 248 .
   Google Scholar
• Miller , W. 1972 . Symmetry Groups and their Applications , New York : Academic Press .
   Google Scholar
• Roth , W. E. 1934 . On direct product matrices . Bull. Amer. Math. Soc. , 40 : 461 – 468 .
   Google Scholar
• Serre , J. P. 1964 . Représenatation Liné des Groupes finis , Paris : Hermann .
   Google Scholar
• Stanley , R. P. 1971 . Theory and application of plane partitions, parts I and II . Studies in Appl. Math. , 2 : 249 – 279 .
   Google Scholar