On certain conformally invariant systems of differential equations. II: Further study of type A systems (Q498627)
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scientific article; zbMATH DE number 6486342
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On certain conformally invariant systems of differential equations. II: Further study of type A systems |
scientific article; zbMATH DE number 6486342 |
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On certain conformally invariant systems of differential equations. II: Further study of type A systems (English)
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29 September 2015
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The author studies a family of system of differential equations where the operators are generalizations of the Heisenberg Laplacians associated to special linear and special unitary groups. Continuing a previous work, the author determines the spectrum of some operator studied before, shows that under some restrictions the systems are free of integrability conditions and exhibit some explicit polynomial solutions in certain cases. For Part I see [the author, New York J. Math. 19, 189--251 (2013; Zbl 1276.35144)].
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systems of differential equations
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Heisenberg group
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Heisenberg Laplacian
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