Antipodal sets and designs on unitary groups
type: Item
instance of: scholarly article
title: Antipodal sets and designs on unitary groups
zbMATH Open document ID: 1479.05041
author: Hirotake Kurihara
published in: Graphs and Combinatorics
publication date: 2021-11-25T00:00:00Z
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 53C35
zbMATH DE Number: 7433372
zbMATH Keywords: design
zbMATH Keywords: great antipodal set
zbMATH Keywords: Hamming cube
describes a project that uses: SageMath
MaRDI profile type: Publication
full work available at URL: s00373-021-02287-9
OpenAlex ID: W3137114219
cites work: Q4437804
cites work: Codes and designs in Grassmannian spaces.
cites work: Designs in Grassmannian spaces and lattices
cites work: A survey on spherical designs and algebraic combinatorics on spheres
cites work: On tight t-designs in compact symmetric spaces of rank one
cites work: Tight t-designs and squarefree integers
cites work: Q3218140
cites work: Unitary \(t\)-groups
cites work: Spherical designs of harmonic index \(t\)
cites work: Irreducibility of unitary group representations and reproducing kernels Hilbert spaces. Appendix on two point homogeneous compact ultrametric spaces in collaboration with Rostislav Grigorchuk.
cites work: Two-numbers and their applications -- a survey
cites work: A Riemannian Geometric Invariant and its Applications to a Problem of Borel and Serre
cites work: Q5707657
cites work: Spherical codes and designs
cites work: Analysis and geometry on complex homogeneous domains
cites work: t-designs in projective spaces
cites work: Parameters of t-designs in \({\mathbb{F}}P^{d-1}\)
cites work: Tight 4 and 5-designs in projective spaces
cites work: Lie groups beyond an introduction
cites work: Great antipodal sets on complex Grassmannian manifolds as designs with the smallest cardinalities
cites work: On tight projective designs
cites work: The group of isometries of a Riemannian manifold
cites work: Transformation Groups on Compact Symmetric Spaces
cites work: Unitary 2-designs from random X- and Z-diagonal unitaries
cites work: Bounds for codes and designs in complex subspaces
cites work: Unitary designs and codes
cites work: Complex Spherical Designs and Codes
cites work: Q4001520
cites work: On cut loci of compact symmetric spaces
cites work: The index number of an 𝑅-space: An extension of a result of M.Takeuchi’s
cites work: Q5520555
cites work: Two-number of symmetric R-spaces
cites work: Q4304287
cites work: Minimal imbeddings of R-spaces
cites work: The intersection of two real forms in Hermitian symmetric spaces of compact type
cites work: Antipodal sets of symmetric \(R\)-spaces
cites work: The intersection of two real forms in Hermitian symmetric spaces of compact type. II.
cites work: Q4604071
cites work: Antipodal sets in oriented real Grassmann manifolds
cites work: Sequences of Maximal Antipodal Sets of Oriented Real Grassmann Manifolds
cites work: Estimates of antipodal sets in oriented real Grassmann manifolds
cites work: Sequences of Maximal Antipodal Sets of Oriented Real Grassmann Manifolds II
DOI: 10.1007/S00373-021-02287-9
description: scientific article; zbMATH DE number 7433372