Designs in Grassmannian spaces and lattices (Q1862267)
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scientific article; zbMATH DE number 1879606
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Designs in Grassmannian spaces and lattices |
scientific article; zbMATH DE number 1879606 |
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Designs in Grassmannian spaces and lattices (English)
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11 March 2003
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The authors generalise the notion of spherical design due to \textit{P. Delsarte}, \textit{J. M. Goethals} and \textit{J. J. Seidel} [Geom. Dedicata 6, 363--388 (1977; Zbl 0376.05015)]. They define and characterise \(t\)-designs on a Grassmann manifold of \({\mathbb R}^n\) . Furthermore they characterise the finite subgroups of the orthogonal group such that each orbit is such a \(t\)-design and investigate some relationship between certain \(4\)-designs and the Rankin functions. The paper is endowed with interesting examples.
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Lattice
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Grassmann manifold
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orthogonal group
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spherical design
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\(t\)-design
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Rankin functions
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0.90388495
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0.90283406
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0.8941486
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0.89404464
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