Linear Preservers of the Permanent on Skew-Symmetric Matrices

M. V. Budrevich; A. E. Guterman; M. A. Duffner

doi:10.1007/s10958-019-04389-5

Linear Preservers of the Permanent on Skew-Symmetric Matrices

M. V. Budrevich
, A. E. Guterman
, M. A. Duffner

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	724-732
Number of pages	9
Journal	Journal of Mathematical Sciences (United States)
Volume	240
Issue number	6
DOIs	https://doi.org/10.1007/s10958-019-04389-5
State	Published - 14 Aug 2019
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

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10.1007/s10958-019-04389-5

Cite this

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title = "Linear Preservers of the Permanent on Skew-Symmetric Matrices",

abstract = "Let Qn(ℂ) denote the space of all skew-symmetric n {\texttimes} 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.",

author = "Budrevich, \{M. V.\} and Guterman, \{A. E.\} and Duffner, \{M. A.\}",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Science+Business Media, LLC, part of Springer Nature.",

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AU - Guterman, A. E.

AU - Duffner, M. A.

PY - 2019/8/14

Y1 - 2019/8/14

N2 - 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.

AB - 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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DO - 10.1007/s10958-019-04389-5

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JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

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ER -

Linear Preservers of the Permanent on Skew-Symmetric Matrices

Abstract

ASJC Scopus subject areas

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