Majorana representation of A6 involving 3C-algebrasReport as inadecuate

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Bulletin of Mathematical Sciences

, Volume 1, Issue 2, pp 365–378

First Online: 31 May 2011Received: 18 April 2011Accepted: 21 April 2011


We study a possible Majorana representation \{{\mathcal R}}\ of the alternating group A6 of degree 6 such that for some involutions s and t in A6, generating a D6-subgroup, the corresponding Majorana axes as and at generate a subalgebra of type 3C. We show that there exists at most one such representation \{{\mathcal R}}\ and that its dimension is at most 70. The representation \{{\mathcal R}}\ does not correspond to a subalgebra in the Monster algebra generated by a subset of the Majorana axes canonically indexed by the involutions of an A6-subgroup in the Monster.

Communicated by A. Laptev.

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Author: A. A. Ivanov


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