Complex spherical designs from group orbits (Q6560736)
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scientific article; zbMATH DE number 7870169
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complex spherical designs from group orbits |
scientific article; zbMATH DE number 7870169 |
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Complex spherical designs from group orbits (English)
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23 June 2024
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This paper considers the general form of complex spherical designs via orbits of the unitary action of a finite group. It is shown that orbits which have large enough stabilisers are then good candidates for being optimal complex spherical designs. As an application, explicit constructions of some putatively optimal real and complex spherical \(t\)-designs disscussed.
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complex spherical design
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unitary group action
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complex reflection group
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harmonic Molien series
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spherical \(t\)-designs
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projective designs
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complex \(\tau\)-designs
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tight spherical designs
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finite tight frames
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integration rules
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cubature rules
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cubature rules for the sphere
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Weyl-Heisenberg SIC
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