Criterion for the preservation of the one-dimensional simplex by a cubic operator

There is a one-to-one correspondence between cubic operators (which map Rm to itself) and m4-dimensional matrices. In this paper, we identify conditions on the 24-dimensional matrix that guarantee the corresponding cubic operator preserves the one-dimensional simplex.

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Publication Details

Journal
Uzbek Mathematical Journal
Published
2025-02-13
DOI
https://doi.org/10.29229/uzmj.2024-4-9
Primary Topic
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
Type
article
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article

Criterion for the preservation of the one-dimensional simplex by a cubic operator

J.N. Jumayev
Uzbek Mathematical Journal
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
article

Criterion for the preservation of the one-dimensional simplex by a cubic operator

J.N. Jumayev
article en

Abstract

There is a one-to-one correspondence between cubic operators (which map Rm to itself) and m4-dimensional matrices. In this paper, we identify conditions on the 24-dimensional matrix that guarantee the corresponding cubic operator preserves the one-dimensional simplex.

Uzbek Mathematical JournalVol. 68(4)
Openalex Percentile: Top 97%
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
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Criterion for the preservation of the one-dimensional simplex by a cubic operator — J.N. Jumayev · Uzbek Mathematical Journal (2025) | TGRS Research Map | TGRS