An explicit embedding of the Tits group in the compact real form of E₆
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🧮 math.GR
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embeddinggroupcompactexplicitformrealtitsconstruct
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We construct a set of $27\times 27$ unitary matrices which give an explicit embedding of the Tits group in the compact real form of the Lie group of type $E_6$. A subset gives an embedding of $\mathrm{PSL}_2(25)$ in $F_4$.
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