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Orthogonal bases of Brauer symmetry classes of tensors for groups having cyclic support on non-linear Brauer characters

Mahdi Hormozi (Institutionen för matematiska vetenskaper, matematik) ; K. Rodtes
The Electronic Journal of Linear Algebra (1081-3810). Vol. 31 (2016), p. 263-285.
[Artikel, refereegranskad vetenskaplig]

This paper provides some properties of Brauer symmetry classes of tensors. A dimension formula is derived for the orbital subspaces in the Brauer symmetry classes of tensors corresponding to the irreducible Brauer characters of the groups whose non-linear Brauer characters have support being a cyclic group. Using the derived formula, necessary and sufficient condition are investigated for the existence of an o-basis of dicyclic groups, semi-dihedral groups, and also those things are reinvestigated on dihedral groups. Some criteria for the non-vanishing elements in the Brauer symmetry classes of tensors associated to those groups are also included.

Nyckelord: Brauer symmetry classes of tensors, Orthogonal basis, Semi-dihedral groups, Dicyclic groups

Denna post skapades 2016-07-05. Senast ändrad 2016-08-11.
CPL Pubid: 238975


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Institutionen för matematiska vetenskaper, matematik (2005-2016)



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