
The study of symmetry classes of tensors is motivated by many branches of pure and applied mathematics, combinatorial theory, matrix theory, operator theory, group representation theory, differential geometry, partial differential equations, quantum mechanics and other areas. The induced operator is useful in the study of symmetry classes of tensors. The authors present some preliminaries in Section 2, and prove their multiplicative preserver results in Sections 3 and 4.
Numerical Analysis, Algebra and Number Theory, symmetry class of tensors, Linear transformations, semilinear transformations, multiplicative operator, induced operator, Induced operator, Multilinear algebra, tensor calculus, Discrete Mathematics and Combinatorics, Geometry and Topology, Symmetry class of tensors, Multiplicative operator, multiplicative preserver
Numerical Analysis, Algebra and Number Theory, symmetry class of tensors, Linear transformations, semilinear transformations, multiplicative operator, induced operator, Induced operator, Multilinear algebra, tensor calculus, Discrete Mathematics and Combinatorics, Geometry and Topology, Symmetry class of tensors, Multiplicative operator, multiplicative preserver
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