Orbits of the hyperoctahedral group as Euclidean designs

DOI10.1007/s10801-006-0042-3zbMath1172.05308OpenAlexW2030480318MaRDI QIDQ884812

Bajnok, Béla

Publication date: 7 June 2007

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-006-0042-3

zbMATH Keywords

spherical designharmonic polynomialhyperoctahedral grouptight designEuclidean design

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Other designs, configurations (05B30)

Related Items (11)

Remarks on Hilbert identities, isometric embeddings, and invariant cubature ⋮ A new Euclidean tight 6-design ⋮ Some remarks on Euclidean tight designs ⋮ Inside s-inner product sets and Euclidean designs ⋮ On positive cubature rules on the simplex and isometric embeddings ⋮ Reproducing kernels for the irreducible components of polynomial spaces on unions of Grassmannians ⋮ Cubature formulas in numerical analysis and Euclidean tight designs ⋮ Geometric designs and rotatable designs. I ⋮ On almost tight Euclidean designs for rotationally symmetric integrals ⋮ A construction of the fourth order rotatable designs invariant under the hyperoctahedral group ⋮ Constructions of \(\Phi_p\)-optimal rotatable designs on the ball

Cites Work

• Averaging sets: A generalization of mean values and spherical designs
• Fisher type inequalities for Euclidean t-designs
• Construction of spherical \(t\)-designs
• Spherical codes and designs
• Isometric embeddings and geometric designs
• On antipodal Euclidean tight \((2e+1)\)-designs
• On Euclidean tight 4-designs
• Construction of spherical cubature formulas using lattices
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