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Abstract For n ≥ 1 , the group U 6 n = 〈 a , b : a 2 n = b 3 = 1 , a − 1 b… Click to show full abstract
Abstract For n ≥ 1 , the group U 6 n = 〈 a , b : a 2 n = b 3 = 1 , a − 1 b a = b − 1 〉 has order 6n. We prove that there is no orthogonal basis of decomposable symmetrized tensors for the symmetry classes of tensors associated with the non-linear irreducible characters of U 6 n . Moreover, the dimensions of these symmetry classes are also given.
Keywords:
classes tensors;
certain groups;
associated certain;
symmetry classes;
tensors associated
Journal Title: Linear Algebra and its Applications
Year Published: 2020
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Journal Title: Linear Algebra and its Applications
Year Published: 2020
Link to full text (if available)
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recommendations!