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Showing 2005 · hep-thShow all
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hep-th2005★ 23 cited
Quaternionic Root Systems and Subgroups of the
Mehmet Koca, Ramazan Koc, Muataz Al-Barwani
Cayley-Dickson doubling procedure is used to construct the root systems of some celebrated Lie algebras in terms of the integer elements of the division algebras of real numbers, c…
hep-th2005★ 5 cited
The Chevalley group G_{2}(2) of order 12096 and the octonionic root system of E_{7}
Mehmet Koca, Ramazan Koc, Nazife O. Koca
The octonionic root system of the exceptional Lie algebra E_8 has been constructed from the quaternionic roots of F_4 using the Cayley-Dickson doubling procedure where the roots of…