E8 lattice with icosians and Z5 symmetry

Mehmet Koca

doi:10.1088/0305-4470/22/19/007

E8 lattice with icosians and Z5 symmetry

Mehmet Koca^*

^*Corresponding author for this work

Physics

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

10 Citations (Scopus)

Abstract

A simple method for the construction of the E, root system with icosians is suggested. It is confronted with the root system of E, obtained by integral octonions. Embeddings of the maximal subgroups SU(5) × SU(5) and SU(3) × E₆ in E₈ with respective five-fold and three-fold symmetries are discussed.

Original language	English
Pages (from-to)	4125-4134
Number of pages	10
Journal	Journal of Physics A: Mathematical and General
Volume	22
Issue number	19
DOIs	https://doi.org/10.1088/0305-4470/22/19/007
Publication status	Published - Oct 7 1989

ASJC Scopus subject areas

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

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10.1088/0305-4470/22/19/007

Cite this

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title = "E8 lattice with icosians and Z5 symmetry",

abstract = "A simple method for the construction of the E, root system with icosians is suggested. It is confronted with the root system of E, obtained by integral octonions. Embeddings of the maximal subgroups SU(5) × SU(5) and SU(3) × E6 in E8 with respective five-fold and three-fold symmetries are discussed.",

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PY - 1989/10/7

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N2 - A simple method for the construction of the E, root system with icosians is suggested. It is confronted with the root system of E, obtained by integral octonions. Embeddings of the maximal subgroups SU(5) × SU(5) and SU(3) × E6 in E8 with respective five-fold and three-fold symmetries are discussed.

AB - A simple method for the construction of the E, root system with icosians is suggested. It is confronted with the root system of E, obtained by integral octonions. Embeddings of the maximal subgroups SU(5) × SU(5) and SU(3) × E6 in E8 with respective five-fold and three-fold symmetries are discussed.

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M3 - Article

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JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 19

ER -

E8 lattice with icosians and Z5 symmetry

Abstract

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