Email this article Linear Preservers of the Permanent on Skew-Symmetric Matrices
- Authors: Budrevich M.V.1,2, Guterman A.E.1,2, Duffner M.A.3
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Affiliations:
- Lomonosov Moscow State University
- Moscow Institute of Physics and Technology
- Departamento de Matemática, Faculdade de Ciências, Universidade de Lisboa
- Issue: Vol 240, No 6 (2019)
- Pages: 724-732
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242825
- DOI: https://doi.org/10.1007/s10958-019-04389-5
- ID: 242825
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Abstract
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.
About the authors
M. V. Budrevich
Lomonosov Moscow State University; Moscow Institute of Physics and Technology
Author for correspondence.
Email: mbudrevich@yandex.ru
Russian Federation, Moscow; Dolgoprudny, Moscow Region
A. E. Guterman
Lomonosov Moscow State University; Moscow Institute of Physics and Technology
Email: mbudrevich@yandex.ru
Russian Federation, Moscow; Dolgoprudny, Moscow Region
M. A. Duffner
Departamento de Matemática, Faculdade de Ciências, Universidade de Lisboa
Email: mbudrevich@yandex.ru
Portugal, Campo Grande, Lisboa, 1700-016
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