A group of involutions characterizing a Clifford algebra of type \(\mathcal C \mathcal L_{0,3}\) (Q2425783)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A group of involutions characterizing a Clifford algebra of type \(\mathcal C \mathcal L_{0,3}\) |
scientific article |
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A group of involutions characterizing a Clifford algebra of type \(\mathcal C \mathcal L_{0,3}\) (English)
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7 May 2008
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The author proves that any associative algebra \(A(.)\) without second order nilpotents on which a special commutative group \(G(.)\) of order 16 acts faithfully as a group of involutive automorphisms and anti-automorphisms on itself, is necessarily a \(\mathcal C \mathcal L _{0,3}\) algebra.
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Clifford algebra
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group characterization
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associative algebra
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commutative group
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group of involutive automorphisms and anti-automorphisms
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