Linear Preservers of the Permanent on Skew-Symmetric Matrices


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Let Qn(ℂ) denote the space of all skew-symmetric n × n matrices over the complex field ℂ. The paper characterizes the linear mappings T : Qn(ℂ) → Qn(ℂ) that satisfy the condition per(T(A)) = per(A) for all matrices AQn(ℂ) and an arbitrary n > 4.

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M. Budrevich

Lomonosov Moscow State University; Moscow Institute of Physics and Technology

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Email: mbudrevich@yandex.ru
俄罗斯联邦, Moscow; Dolgoprudny, Moscow Region

A. Guterman

Lomonosov Moscow State University; Moscow Institute of Physics and Technology

Email: mbudrevich@yandex.ru
俄罗斯联邦, Moscow; Dolgoprudny, Moscow Region

M. Duffner

Departamento de Matemática, Faculdade de Ciências, Universidade de Lisboa

Email: mbudrevich@yandex.ru
葡萄牙, Campo Grande, Lisboa, 1700-016

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