Product of bivectors and quaternion complexes (Q1286425)
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scientific article; zbMATH DE number 1283722
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Product of bivectors and quaternion complexes |
scientific article; zbMATH DE number 1283722 |
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Product of bivectors and quaternion complexes (English)
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3 May 1999
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After reexamining the product of bi-vectors in the Clifford algebra \({\mathcal C}\ell_{3,0}\) some vector identities are derived. Bi-vectors are identified with (pure) quaternions. The embedding \({\mathcal C}\ell_{3,0} \in{\mathcal C} \ell_{1,3}\) allows to connect complex- or bi-quaternions with bi-vectors in \({\mathcal C} \ell_{1,3}\). The paper is elementary.
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Clifford algebra
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quaternions
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bi-quaternions
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complex quaternions
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