scientific article; zbMATH DE number 934868

zbMath0936.20041MaRDI QIDQ4895354

T. Yu. Mikhajlova, Sergei Konstantinovich Godunov

Publication date: 14 October 1996

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zbMATH Keywords

spherical functionsirreducible representationsmatrix elementsClebsch-Gordan coefficientstensor representationsspinor realizationsrotation-invariant systems of equations

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of linear algebraic groups to the sciences (20G45) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to topological groups (22-01)

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Formulas for calculating the \(3j\)-symbols of the representations of the Lie algebra \({\mathfrak{gl}}_3\) for the Gelfand-Tsetlin bases ⋮ Approximation in mean on homogeneous compact spaces ⋮ Invariant operators and separation of residual stresses ⋮ On the matrices of Clebsch-Gordan coefficients ⋮ Radon transform on Sobolev spaces ⋮ Invariant operators in some space of vector functions ⋮ Singular value decomposition of the longitudinal ray transform of vector fields in a ball in cone beam coordinates

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