Multiplication of integral octonions

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

Research output: Contribution to journalArticlepeer-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 languageEnglish
Article number1650144
JournalJournal of Algebra and its Applications
Volume15
Issue number8
DOIs
StatePublished - 1 Oct 2016

Bibliographical note

Publisher Copyright:
© 2016 World Scientific Publishing Company.

Keywords

  • integral octonion
  • Integral quaternion

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