The symmetry group of a finite frame

DOI10.1016/j.laa.2010.02.017zbMath1188.42015OpenAlexW2087340328MaRDI QIDQ972800

Richard Vale, Shayne F. D. Waldron

Publication date: 21 May 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.02.017

zbMATH Keywords

symmetry grouptight frameGramian matrixfinite frameharmonic framegeometrically uniform framemaximally symmetric framespartition frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Group actions and symmetry properties (58D19) General harmonic expansions, frames (42C15) Symmetry properties of polytopes (52B15)

Related Items (6)

On root frames in \(\mathbb{R}^d\) ⋮ Frames for vector spaces and affine spaces ⋮ On the construction of highly symmetric tight frames and complex polytopes ⋮ A classification of the harmonic frames up to unitary equivalence ⋮ OPTIMAL LINE PACKINGS FROM FINITE GROUP ACTIONS ⋮ Unnamed Item

Cites Work

• Unnamed Item
• On the construction of equiangular frames from graphs
• Continuous and discrete tight frames of orthogonal polynomials for a radially symmetric weight
• On computing all harmonic frames of \(n\) vectors in \(\mathbb {C}^d\)
• Tight frames generated by finite nonabelian groups
• Equiangular tight frames from complex Seidel matrices containing cube roots of unity
• Optimal frames for erasures.
• Tight frames and their symmetries
• Frames, graphs and erasures
• An Introduction to Frames
• Frames, bases and group representations
• Geometrically uniform frames
• Symmetric informationally complete quantum measurements
• Classification of Finite Group-Frames and Super-Frames
• An introduction to frames and Riesz bases

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