Applications of matrix algebra to Clifford groups (Q1934348)
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scientific article; zbMATH DE number 6131890
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Applications of matrix algebra to Clifford groups |
scientific article; zbMATH DE number 6131890 |
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Applications of matrix algebra to Clifford groups (English)
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28 January 2013
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The authors show that all nonzero vectors and bivectors of the Clifford algebra \({\mathcal{C} \ell_{0,3}}\) are invertible and that they are elements of the Clifford group \(\Gamma _{0,3}\). The properties of the subalgebra \(L _{8}\) of the matrix algebra \({M_8 \mathbb{(R)}}\) are used in establishing the results of this paper.
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Clifford algebra
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Clifford group
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bivectors
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matrix algebra
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