# G 2(2) as the automorphism group of the octonionic root system of E 7

Karsch F, Koca M (1990)

Journal of Physics, A: Mathematical and General 23(21): 4739-4750.

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Karsch, Frithjof

^{UniBi}; Koca, M.Abstract

A simple method is suggested for the construction of the seven-dimensional representation of the adjoint Chevalley group G 2(2), the automorphism group of the octonionic root system of E 7. The maximal subgroups of G 2(2) preserving the octonionic root systems of the maximal subgroups of E 7 are identified. Possible implications in physics are discussed.

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Karsch F, Koca M. G 2(2) as the automorphism group of the octonionic root system of E 7.

*Journal of Physics, A: Mathematical and General*. 1990;23(21):4739-4750.Karsch, F., & Koca, M. (1990). G 2(2) as the automorphism group of the octonionic root system of E 7.

*Journal of Physics, A: Mathematical and General*,*23*(21), 4739-4750. doi:10.1088/0305-4470/23/21/016Karsch, F., and Koca, M. (1990). G 2(2) as the automorphism group of the octonionic root system of E 7.

*Journal of Physics, A: Mathematical and General*23, 4739-4750.Karsch, F., & Koca, M., 1990. G 2(2) as the automorphism group of the octonionic root system of E 7.

*Journal of Physics, A: Mathematical and General*, 23(21), p 4739-4750. F. Karsch and M. Koca, “G 2(2) as the automorphism group of the octonionic root system of E 7”,

*Journal of Physics, A: Mathematical and General*, vol. 23, 1990, pp. 4739-4750. Karsch, F., Koca, M.: G 2(2) as the automorphism group of the octonionic root system of E 7. Journal of Physics, A: Mathematical and General. 23, 4739-4750 (1990).

Karsch, Frithjof, and Koca, M. “G 2(2) as the automorphism group of the octonionic root system of E 7”.

*Journal of Physics, A: Mathematical and General*23.21 (1990): 4739-4750.
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