On the 3j symmetries

DOI10.1063/1.525771zbMath0549.20009OpenAlexW1998299283MaRDI QIDQ3342734

J. D. Newmarch

Publication date: 1983

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525771

zbMATH Keywords

symmetry propertieswreath productinner plethysmscompact linear group

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of group representations to physics and other areas of science (20C35)

Cites Work

• On the number of roots of the equation X\(^n\)=1 in finite groups and related properties
• Special symmetries of jm factors and j symbols
• On the symmetries of the 6j symbol
• Some character theory for groups of linear and antilinear operators
• The Racah algebra for groups with time reversal symmetry. III
• j symbols and jm factors for all dihedral and cyclic groups
• 6j symbols and 3jm factors for the group chain D_4dcontains/implies D₄contains/implies C₄
• Orientations of point groups-phase choices in the Racah-Wigner algebra
• 3-jm, 6-j and isoscalar symbols for the icosahedral group
• The Racah algebra for groups with time reversal symmetry
• Time reversal symmetry in applications of point group theory
• The Racah algebra for groups with time reversal symmetry .II
• Coupling coefficients and tensor operators for chains of groups
• On The Number of Classes of a Finite Group Invariant for Certain Substitutions
• Criteria for Groups with Representations of the Second Kind and for Simple Phase Groups
• The Clebsch–Gordan coefficients of S n
• Branching rules for GL(N)⊃Σm and the evaluation of inner plethysms
• Symmetrized Kronecker Products of Group Representations
• Racah Algebra for an Arbitrary Group
• Symmetry Properties of the 3j-Symbols for an Arbitrary Group

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