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IPM
30
YEARS OLD

“School of Mathematics”

Paper   IPM / M / 64
   School of Mathematics
  Title: On the dimensions of cyclic symmetry classes of tensors
  Author(s):
1 . M. R. Darafsheh
2 . M. R. Pournaki
  Status: Published
  Journal: J. Algebra
  No.: 1
  Vol.: 205
  Year: 1998
  Pages: 317-325
  Publisher(s): Academic Press
  Supported by: IPM
  Abstract:
The dimensions of the symmetry classes of tensors, associated with a certain cyclic subgroup of $m which is generated by a product of disjoint cycles is explicitly given in terms of the generalized Ramanujan sum. These dimensions can also be expressed as the Euler φ-function and the Mobius function.

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