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- W1979169146 abstract "Abstract Letr Σ n (C) denote the space of all n χ n symmetric matrices over the complex field C. The main objective of this paper is to prove that the maps Φ : Σ n (C) -> Σ n (C) satisfying for any fixed irre- ducible characters X, X' -S C the condition d x (A +aB) = d χ ·(Φ(Α ) + αΦ(Β)) for all matrices A,В ε Σ„(С) and all scalars a ε C are automatically linear and bijective. As a corollary of the above result we characterize all such maps Φ acting on Σ И (С)." @default.
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- W1979169146 date "2014-01-01" @default.
- W1979169146 modified "2023-09-27" @default.
- W1979169146 title "Immanant Conversion on Symmetric Matrices" @default.
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- W1979169146 doi "https://doi.org/10.2478/spma-2014-0001" @default.
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