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On the Dimensions of Cyclic Symmetry Classes of Tensors

✍ Scribed by M.R Darafsheh; M.R Pournaki

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 129 KB
Volume: 205
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7376

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✦ Synopsis

The dimensions of the symmetry classes of tensors, associated with a certain cyclic subgroup of $ which is generated by a product of disjoint cycles is explicitly m given in terms of the generalized Ramanujan sum. These dimensions can also be expressed as the Euler -function and the Mobius function.

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