Subspaces where an immanant is convertible into its conjugateFootnote^∗

^∗This work was done within the activities of the Centro de Estruturas Lineares e Combinatórias and was supported by FundaÇão para a Ciência e Tecnologia and Programa Ciência, Tecnologia e InovaÇão do Quadro Comunitário de Apoio

References

• Boerner , H. 1970 . Representation of Groups , New York : American Elsevier .
   Google Scholar
• Brualdi , R. A. and Ryser , H. J. 1991 . Combinatorial Matrix Theory Cambridge U.P
   Google Scholar
• PurificaÇão Coelho , M. and Antónia Duffner , M. 1998 . On the conversion of an immanant into another . Linear and Multilinear Algebra , 44 : 111 – 130 .
   Google Scholar
• PurificaÇão Coelho , M. and Antónia Duffner , M. 1997 . Non Vanishing Conjugacy Classes for an Irreducible Character of Sn . Portugaliae Mathematica , 54 : 441 – 447 . fasc 4
   Google Scholar
• Gibson , P. M. 1969 . An identity between permanents and determinants . The American Mathematical Monthly , 76 : 270 – 271 .
   Google Scholar
• Gibson , P. M. 1971 . Conversion of the permanent into the determinant , 471 – 476 . Proceedings of the American Mathematical Society .
   Google Scholar
• James , G. and Kerber , A. 1981 . “ The Representation Theory of the Symmetric Group ” . In Encyclopedia of Mathematics and its Applications , Vol. 16 , Addison-Wesley . Reading, MA
   Google Scholar
• Littlewood , D. E. 1940 . The Theory of Group Characters and Matrix Representations of Groups , Oxford Clarendon Press . ed:2
   Google Scholar
• 1997 . Multilinear Algebra , Gordon and Breach Science Publishers .
   Google Scholar
• Sagan , B. E. 1991 . The Symmetric Group , Belmont : Wadsworth and Brooks/Cole . CA
   Google Scholar