On invertibility of linear subspaces generating Clifford algebras (Q1384890)
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scientific article; zbMATH DE number 1143503
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On invertibility of linear subspaces generating Clifford algebras |
scientific article; zbMATH DE number 1143503 |
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On invertibility of linear subspaces generating Clifford algebras (English)
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19 October 1998
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The authors obtain necessary and sufficient conditions for some subspaces of a universal Clifford algebra \({\mathcal A}\) (induced by an \(m\)-dimensional real linear space) to be invertible. They give the generalized Cauchy-Riemann operator acting the monogenic functions \(f:x\to {\mathcal A}\) where \(x\in M\) (a manifold) which linearizes the Laplace operator.
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invertibility
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linear subspaces
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universal Clifford algebra
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generalized Cauchy-Riemann operator
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monogenic functions
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Laplace operator
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