Orthogonal bases of Brauer symmetry classes of tensors for groups having cyclic support on non-linear Brauer characters
2016 ◽
Vol 31
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pp. 263-285
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Keyword(s):
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.
1964 ◽
Vol 16
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pp. 310-314
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1990 ◽
Vol 21
(2)
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pp. 305-316
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1992 ◽
Vol 29
(02)
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pp. 363-373
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1988 ◽
Vol 25
(03)
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pp. 553-564
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2017 ◽
Vol E100.A
(12)
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pp. 2764-2775
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