Designs, groups and lattices

DOI10.5802/jtnb.474zbMath1074.05023arXiv0712.1939OpenAlexW2161462256MaRDI QIDQ2388605

Christine Bachoc

Publication date: 15 September 2005

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.1939

zbMATH Keywords

Clifford groupGrassmannian spacesGrassmannian design

Mathematics Subject Classification ID

Other designs, configurations (05B30) Lattices and convex bodies (number-theoretic aspects) (11H06) Discrete subgroups of Lie groups (22E40) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (10)

Classification of the vertex operator algebras \(V_L^+\) of class \(\mathcal{S}^4\) ⋮ Extreme lattices and vexillar designs ⋮ Minimization of the probabilistic \(p\)-frame potential ⋮ Strongly perfect lattices sandwiched between Barnes–Wall lattices ⋮ Reproducing kernels for the irreducible components of polynomial spaces on unions of Grassmannians ⋮ Uniformly distributed sequences in the orthogonal group and on the Grassmannian manifold ⋮ Tight \(p\)-fusion frames ⋮ Points on manifolds with asymptotically optimal covering radius ⋮ A survey on spherical designs and algebraic combinatorics on spheres ⋮ Distributing many points on spheres: minimal energy and designs

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