Geodesic
The 2A-Majorana representations of the Harada-Norton group
Ars Mathematica Contemporanea, Tome 11 (2016) no. 1, pp. 175-187.

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We show that all 2A-Majorana representations of the Harada-Norton group F5 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 F5 in the Monster, U is closed under the algebra product.
DOI : 10.26493/1855-3974.859.0c3
Keywords: Majorana representations, association schemes, Monster algebra, Harada-Norton group 
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Clara Franchi; Alexander A. Ivanov; Mario Mainardis. The 2A-Majorana representations of the Harada-Norton group. Ars Mathematica Contemporanea, Tome 11 (2016) no. 1, pp. 175-187. doi : 10.26493/1855-3974.859.0c3. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.859.0c3/

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