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IPM
30
YEARS OLD

“School of Mathematics”

Paper   IPM / M / 66
   School of Mathematics
  Title: Computation of the dimensions of symmetry classes of tensors associated with the finite two dimensional projective special linear group
  Author(s):
1 . M. R. Darafsheh
2 . M. R. Pournaki
  Status: Published
  Journal: Appl. Algebra Engrg. Comm. Comput.
  No.: 3
  Vol.: 10
  Year: 2000
  Pages: 237-250
  Publisher(s): Springer-Verlag
  Supported by: IPM
  Abstract:
The dimensions of the symmetry classes of tensors associated with the projective special linear group of degree 2 over a field with q elements, PSL2(q), are found. Of course we will assume PSL2(q) as a subgroup of the symmetric group Sq+1 because this group has a faithful action on the points of the underlying projective space. We also discuss the non-triviality of the symmetry classes of tensors associated with each irreducible character of PSL2(q).

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