G2(2) as the automorphism group of the octonionic root system of E7

F. Karsch; M. Koca

doi:10.1088/0305-4470/23/21/016

G₂(2) as the automorphism group of the octonionic root system of E₇

F. Karsch^*, M. Koca

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

A simple method is suggested for the construction of the seven-dimensional representation of the adjoint Chevalley group G₂(2), the automorphism group of the octonionic root system of E₇. The maximal subgroups of G₂(2) preserving the octonionic root systems of the maximal subgroups of E₇ are identified. Possible implications in physics are discussed.

Original language	English
Article number	016
Pages (from-to)	4739-4750
Number of pages	12
Journal	Journal of Physics A: Mathematical and General
Volume	23
Issue number	21
DOIs	https://doi.org/10.1088/0305-4470/23/21/016
Publication status	Published - 1990
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

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10.1088/0305-4470/23/21/016

Cite this

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title = "G2(2) as the automorphism group of the octonionic root system of E7",

abstract = "A simple method is suggested for the construction of the seven-dimensional representation of the adjoint Chevalley group G2(2), the automorphism group of the octonionic root system of E7. The maximal subgroups of G2(2) preserving the octonionic root systems of the maximal subgroups of E7 are identified. Possible implications in physics are discussed.",

author = "F. Karsch and M. Koca",

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doi = "10.1088/0305-4470/23/21/016",

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AB - A simple method is suggested for the construction of the seven-dimensional representation of the adjoint Chevalley group G2(2), the automorphism group of the octonionic root system of E7. The maximal subgroups of G2(2) preserving the octonionic root systems of the maximal subgroups of E7 are identified. Possible implications in physics are discussed.

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ER -

G₂(2) as the automorphism group of the octonionic root system of E₇

Abstract

ASJC Scopus subject areas

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