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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 A ∈ Qn(ℂ) and an arbitrary n > 4.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    M. V. Budrevich & A. E. Guterman

  2. Moscow Institute of Physics and Technology, Moscow Region, Dolgoprudny, Russia

    M. V. Budrevich & A. E. Guterman

  3. Departamento de Matemática, Faculdade de Ciências, Universidade de Lisboa, Campo Grande, 1700-016, Lisboa, Portugal

    M. A. Duffner

Authors
  1. M. V. Budrevich
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  2. A. E. Guterman
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  3. M. A. Duffner
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Correspondence to M. V. Budrevich.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 472, 2018, pp. 31–43.

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Budrevich, M.V., Guterman, A.E. & Duffner, M.A. Linear Preservers of the Permanent on Skew-Symmetric Matrices. J Math Sci 240, 724–732 (2019). https://doi.org/10.1007/s10958-019-04389-5

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  • DOI: https://doi.org/10.1007/s10958-019-04389-5

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