Division algebras, Clifford algebras, periodicity (Q1644452)
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scientific article; zbMATH DE number 6892833
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Division algebras, Clifford algebras, periodicity |
scientific article; zbMATH DE number 6892833 |
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Division algebras, Clifford algebras, periodicity (English)
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21 June 2018
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Periodicities in Clifford algebra theory of orders \(2,4,\) and \(8\) are well known. Starting from a result from lattice theory, in which a \(24\)-dimensional Leech lattice can be represented in the \(3\)-dimensional space with octonion components, the main goal of this paper is to prove that, by exploiting the octonion algebra, in Clifford algebra representation theory a periodicity of order 24 arises.
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division algebra
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Clifford algebra
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