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arXiv · 2611.01242

Linear maps preserving the Cullis' determinant. III

Alexander Guterman·Andrey Yurkov
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Abstract

This paper is the third in the series of papers devoted to the explicit description of linear maps preserving the Cullis' determinant of rectangular matrices of size $n\times k$ with entries belonging to an arbitrary ground field which is large enough. In this part we study the remaining case where $k = 3$ and $n \ge k + 2 = 5$ and prove that every linear map preserving the Cullis' determinant admits the same description as for the case where $k \ge 4$ and $n \ge k + 2$ obtained previously.

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Alexander Guterman, Andrey Yurkov. 2026-10-31. Linear maps preserving the Cullis' determinant. III. https://doi.org/10.1515/spma-2025-0053

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