Orthogonal bases of Brauer symmetry classes of tensors for groups having cyclic support on non-linear Brauer characters
Journal article, 2016

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.

Semi-dihedral groups

Brauer symmetry classes of tensors

Dicyclic groups

Orthogonal basis

Author

Mahdi Hormozi

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

K. Rodtes

Naresuan University

Electronic Journal of Linear Algebra

1081-3810 (ISSN)

Vol. 31 1 263-285

Subject Categories

Mathematics

DOI

10.13001/1081-3810.3155

More information

Created

10/7/2017