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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 472, Pages 31–43 (Mi znsl6638)  

This article is cited in 4 scientific papers (total in 4 papers)

Permanent preserving linear transformations of skew-symmetric matrices

M. V. Budrevichab, A. E. Gutermanab, M. A. Duffnerc

a Lomonosov Moscow State University, Moscow, Russia
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region, Russia
c Universidade de Lisboa, Lisboa, Portugal
Full-text PDF (195 kB) Citations (4)
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Abstract: Let $Q_n(\mathbb{C})$ denote the space of all skew-symmetric $n\times n$ matrices over the complex field $\mathbb{C}$. The paper characterizes the linear mappings $T$: $Q_n(\mathbb{C})\to Q_n(\mathbb{C})$ that satisfy the condition $\operatorname{per}( T (A))=\operatorname{per}(A)$ for all $A \in Q_n(\mathbb{C})$ and an arbitrary $n>4$.
Key words and phrases: determinant, permanent, immanant, linear maps, skew-symmetric matrices.
Funding agency Grant number
Russian Science Foundation 17-11-01124
Received: 06.11.2018
Document Type: Article
UDC: 512.643
Language: Russian
Citation: M. V. Budrevich, A. E. Guterman, M. A. Duffner, “Permanent preserving linear transformations of skew-symmetric matrices”, Computational methods and algorithms. Part XXXI, Zap. Nauchn. Sem. POMI, 472, POMI, St. Petersburg, 2018, 31–43
Citation in format AMSBIB
\Bibitem{BudGutDuf18}
\by M.~V.~Budrevich, A.~E.~Guterman, M.~A.~Duffner
\paper Permanent preserving linear transformations of skew-symmetric matrices
\inbook Computational methods and algorithms. Part~XXXI
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 472
\pages 31--43
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6638}
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  • https://www.mathnet.ru/eng/znsl6638
  • https://www.mathnet.ru/eng/znsl/v472/p31
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :67
    References:25
     
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