Antipodal sets and designs on unitary groups

DOI10.1007/s00373-021-02287-9zbMath1479.05041OpenAlexW3137114219MaRDI QIDQ2051876

Hirotake Kurihara

Publication date: 25 November 2021

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-021-02287-9

zbMATH Keywords

designHamming cubegreat antipodal set

Mathematics Subject Classification ID

Other designs, configurations (05B30) Differential geometry of symmetric spaces (53C35)

Related Items (2)

The (𝑀₊,𝑀₋)-method on compact symmetric spaces and its applications ⋮ Great antipodal sets on complex Grassmannian manifolds as designs with the smallest cardinalities

Uses Software

• SageMath

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• t-designs in projective spaces
• Two-numbers and their applications -- a survey
• Tight t-designs and squarefree integers
• Parameters of t-designs in \({\mathbb{F}}P^{d-1}\)
• On tight projective designs
• Unitary designs and codes
• A survey on spherical designs and algebraic combinatorics on spheres
• On tight t-designs in compact symmetric spaces of rank one
• Tight 4 and 5-designs in projective spaces
• On cut loci of compact symmetric spaces
• Spherical codes and designs
• Irreducibility of unitary group representations and reproducing kernels Hilbert spaces. Appendix on two point homogeneous compact ultrametric spaces in collaboration with Rostislav Grigorchuk.
• Codes and designs in Grassmannian spaces.
• Designs in Grassmannian spaces and lattices
• The intersection of two real forms in Hermitian symmetric spaces of compact type
• Antipodal sets of symmetric \(R\)-spaces
• Analysis and geometry on complex homogeneous domains
• Unitary \(t\)-groups
• Great antipodal sets on complex Grassmannian manifolds as designs with the smallest cardinalities
• Bounds for codes and designs in complex subspaces
• The intersection of two real forms in Hermitian symmetric spaces of compact type. II.
• Spherical designs of harmonic index \(t\)
• Minimal imbeddings of R-spaces
• The group of isometries of a Riemannian manifold
• ANTIPODAL SETS IN ORIENTED REAL GRASSMANN MANIFOLDS
• A Riemannian Geometric Invariant and its Applications to a Problem of Borel and Serre
• Two-number of symmetric R-spaces
• The index number of an 𝑅-space: An extension of a result of M.Takeuchi’s
• Sequences of Maximal Antipodal Sets of Oriented Real Grassmann Manifolds II
• Sequences of Maximal Antipodal Sets of Oriented Real Grassmann Manifolds
• Estimates of antipodal sets in oriented real Grassmann manifolds
• Complex Spherical Designs and Codes
• Transformation Groups on Compact Symmetric Spaces
• Unitary 2-designs from random X- and Z-diagonal unitaries
• Lie groups beyond an introduction

This page was built for publication: Antipodal sets and designs on unitary groups