Theory of q-deformed forms. III: q-deformed Hodge star, inner product, adjoint operator of exterior derivative, and self-dual Yang-Mills equation (Q1919231)
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scientific article; zbMATH DE number 912950
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Theory of q-deformed forms. III: q-deformed Hodge star, inner product, adjoint operator of exterior derivative, and self-dual Yang-Mills equation |
scientific article; zbMATH DE number 912950 |
Statements
Theory of q-deformed forms. III: q-deformed Hodge star, inner product, adjoint operator of exterior derivative, and self-dual Yang-Mills equation (English)
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18 September 1996
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The author introduces the \(q\)-deformed Hodge star operator, the \(q\)-deformed inner product and the \(q\)-deformed adjoint of the \(q\)-deformed exterior derivative and investigates some of their properties. Using this mathematical background, he constructs the \(q\)-deformed self-dual Yang-Mills theory. [For part I and II see above, Zbl 0854.53001 and Zbl 0854.53002].
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\(q\)-deformed Hodge star operator
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inner product
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exterior derivative
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\(q\)-deformed self-dual Yang-Mills theory
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