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Cubic Idempotence Preserver Problem in Hermitian Matrix Space

Journal of Harbin University of Science and Technology
Preserver problems are the study of preserving maps of certain invariants on a given mathematical structure. In order to preserve the cubic idempotent of Hermitian matrix space, we study the image from the basis of 2 × 2-dimensional Hermitian matrix ...
ZHANG Haoran, XU Jinli
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Symmetry Transformations on the Set of Tensor Products of Rank-1 Idempotents

Journal of Mathematics
We obtain a characterization of bijective maps preserving the trace of products on the set of tensor products of rank-1 idempotents, which may be considered as a generalization of Molnár’s Wigner-type theorem in multipartite systems.
Yulong Tian, Jinli Xu
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