The 2A Majorana representations of the Harada-Norton group.
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Accepted version
Published version
Author(s)
Franchi, C
Ivanov, AA
Mainardis, M
Type
Journal Article
Abstract
We show that all 2
A
-Majorana representations of the Harada-
Norton group
F
5
have the same shape. If
R
is such a representation, we
determine, using the theory of association schemes, the dimension and the
irreducible constituents of the linear span
U
of the Majorana axes. Finally, we
prove that, if
R
is based on the (unique) embedding of
F
5
in the Monster,
U
is closed under the algebra product.
A
-Majorana representations of the Harada-
Norton group
F
5
have the same shape. If
R
is such a representation, we
determine, using the theory of association schemes, the dimension and the
irreducible constituents of the linear span
U
of the Majorana axes. Finally, we
prove that, if
R
is based on the (unique) embedding of
F
5
in the Monster,
U
is closed under the algebra product.
Date Issued
2015-10-11
Date Acceptance
2015-09-18
Citation
ARS Mathematica Contemporanea, 2015, 11 (1)
ISSN
1855-3966
Publisher
DMFA Slovenije
Journal / Book Title
ARS Mathematica Contemporanea
Volume
11
Issue
1
Copyright Statement
This work is licensed under http://creativecommons.org/licenses/by/3.0/
License URL
Publication Status
Published