Quaternionic and octonionic orbifolds

Mehmet Koca

doi:10.1016/0370-2693(89)90659-X

Quaternionic and octonionic orbifolds

Mehmet Koca^*

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

We identify the four- and six-dimensional orbifolds embeddable in E₈, the root system of which is constructed with octonions and icosians. The root system of E₆ expressed as integral octonions can be interpreted as a collection of the binary tetrahedral groups and the dicyclic groups of order 12.

Original language	English
Pages (from-to)	200-204
Number of pages	5
Journal	Physics Letters B
Volume	228
Issue number	2
DOIs	https://doi.org/10.1016/0370-2693(89)90659-X
Publication status	Published - Sept 14 1989
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(89)90659-X

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title = "Quaternionic and octonionic orbifolds",

abstract = "We identify the four- and six-dimensional orbifolds embeddable in E8, the root system of which is constructed with octonions and icosians. The root system of E6 expressed as integral octonions can be interpreted as a collection of the binary tetrahedral groups and the dicyclic groups of order 12.",

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AB - We identify the four- and six-dimensional orbifolds embeddable in E8, the root system of which is constructed with octonions and icosians. The root system of E6 expressed as integral octonions can be interpreted as a collection of the binary tetrahedral groups and the dicyclic groups of order 12.

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DO - 10.1016/0370-2693(89)90659-X

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JO - Physics Letters B

JF - Physics Letters B

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Quaternionic and octonionic orbifolds

Abstract

ASJC Scopus subject areas

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