Compact simple Lie groups and their \(C\)-, \(S\)-, and \(E\)-transforms

DOI10.3842/SIGMA.2005.025zbMath1091.43002arXivmath-ph/0512029WikidataQ115219747 ScholiaQ115219747MaRDI QIDQ2495140

Jirí Patera

Publication date: 4 July 2006

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0512029

zbMATH Keywords

discretizationWeyl groupdata interpolation\(S\)-transformfundamental regionweight latticecompact simple Lie group\(C\)-transform\(E\)-transformLie algebra algorithms

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Semisimple Lie groups and their representations (22E46) Other transforms and operators of Fourier type (43A32)

Related Items (2)

The discrete \(\text{SU}(3)\) transform and its continuous extension for triangular lattices ⋮ Cubature formulae for orthogonal polynomials in terms of elements of finite order of compact simple Lie groups

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