Immanant Conversion on Symmetric Matrices

• Autorzy: M. Purificação Coelho , M. Antónia Duffner , Alexander E. Guterman
• Języki publikacji: EN

Abstrakty

EN

Letr Σn(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 : Σn(C) -> Σn (C) satisfying for any fixed irre- ducible characters X, X' -SC the condition dx(A +aB) = dχ·(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 ΣИ(С).

Słowa kluczowe

EN

Determinant; permanent; immanant; preservers; converters; symmetric matrices

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2014
• Tom: 2
• Numer: 1

Daty

wydano

2014-01-01

otrzymano

2013-08-29

zaakceptowano

2014-01-03

online

2014-02-12

Twórcy

autor

M. Purificação Coelho

• Departamento de Matemática, Faculdade de Ciências, Universidade de Lisboa, Bloco C6, Piso 2, Campo Grande, 1700-016 Lisboa, Portugal,

autor

M. Antónia Duffner

• Departamento de Matemática, Faculdade de Ciências, Universidade de Lisboa, Bloco C6, Piso 2, Campo Grande, 1700-016 Lisboa, Portugal,

autor

Alexander E. Guterman

• Department of Higher Algebra, Faculty of Mathematics and Mechanics, Moscow State University, Moscow, 119991, Russia,

Bibliografia

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Identyfikatory

DOI

10.2478/spma-2014-0001