Multiplication of integral octonions

Myeung Su Kim; Yeonjun Kim; Jae Hyouk Lee; Seungbum Nam; Kiho Park

doi:10.1142/S0219498816501449

Multiplication of integral octonions

Myeung Su Kim, Yeonjun Kim, Jae Hyouk Lee, Seungbum Nam, Kiho Park

Department of Mathematics

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

Abstract

The integral subsets of octonions are an analog of integers in real numbers and related to many interesting topics in geometry and physics via E8-lattices. In this paper, we study the properties of the multiplication of the integral subsets of octonions by studying configuration of Fano plane via blocks and operations on them. And we show that the integral subsets are integral indeed by introducing new and elementary methods.

Original language	English
Article number	1650144
Journal	Journal of Algebra and its Applications
Volume	15
Issue number	8
DOIs	https://doi.org/10.1142/S0219498816501449
State	Published - 1 Oct 2016

Keywords

integral octonion
Integral quaternion

Access to Document

10.1142/S0219498816501449

Cite this

@article{201c60e5baf548e1a195a160cdd35438,

title = "Multiplication of integral octonions",

abstract = "The integral subsets of octonions are an analog of integers in real numbers and related to many interesting topics in geometry and physics via E8-lattices. In this paper, we study the properties of the multiplication of the integral subsets of octonions by studying configuration of Fano plane via blocks and operations on them. And we show that the integral subsets are integral indeed by introducing new and elementary methods.",

keywords = "integral octonion, Integral quaternion",

author = "Kim, {Myeung Su} and Yeonjun Kim and Lee, {Jae Hyouk} and Seungbum Nam and Kiho Park",

note = "Publisher Copyright: {\textcopyright} 2016 World Scientific Publishing Company.",

year = "2016",

month = oct,

day = "1",

doi = "10.1142/S0219498816501449",

language = "English",

volume = "15",

journal = "Journal of Algebra and its Applications",

issn = "0219-4988",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "8",

}

TY - JOUR

T1 - Multiplication of integral octonions

AU - Kim, Myeung Su

AU - Kim, Yeonjun

AU - Lee, Jae Hyouk

AU - Nam, Seungbum

AU - Park, Kiho

PY - 2016/10/1

Y1 - 2016/10/1

N2 - The integral subsets of octonions are an analog of integers in real numbers and related to many interesting topics in geometry and physics via E8-lattices. In this paper, we study the properties of the multiplication of the integral subsets of octonions by studying configuration of Fano plane via blocks and operations on them. And we show that the integral subsets are integral indeed by introducing new and elementary methods.

AB - The integral subsets of octonions are an analog of integers in real numbers and related to many interesting topics in geometry and physics via E8-lattices. In this paper, we study the properties of the multiplication of the integral subsets of octonions by studying configuration of Fano plane via blocks and operations on them. And we show that the integral subsets are integral indeed by introducing new and elementary methods.

KW - integral octonion

KW - Integral quaternion

UR - http://www.scopus.com/inward/record.url?scp=84943328122&partnerID=8YFLogxK

U2 - 10.1142/S0219498816501449

DO - 10.1142/S0219498816501449

M3 - Article

AN - SCOPUS:84943328122

SN - 0219-4988

VL - 15

JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

IS - 8

M1 - 1650144

ER -

Multiplication of integral octonions

Abstract

Keywords

Access to Document

Fingerprint

Cite this