Majorana representation of A(6) involving 3C-algebras

作者：Ivanov A A^*

来源：Bulletin of Mathematical Sciences, 2011, 1(2): 365-378.

DOI：10.1007/s13373-011-0010-7

We study a possible Majorana representation R of the alternating group A(6) of degree 6 such that for some involutions s and t in A(6), generating a D-6-subgroup, the corresponding Majorana axes a(s) and a(t) generate a subalgebra of type 3C. We show that there exists at most one such representation R and that its dimension is at most 70. The representation 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 A(6)-subgroup in the Monster.

• 出版日期2011-12