On the Symmetric Tensor Operators of the Unitary Groups

DOI10.1063/1.1666142zbMath0242.22019OpenAlexW2060224012MaRDI QIDQ5652919

A. P. Jucys, S. I. Ališauskas, A.-A. A. Jucys

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1063/1.1666142

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (16)

Multiplicity-free Wigner coefficients for semisimple Lie groups. I. The U(n) pattern calculus ⋮ Multiplicity-free Wigner coefficients for semisimple Lie groups. II. A pattern calculus for O(n) ⋮ Relationship between S N and U(n) isoscalar factors and higher-order U(n) invariants ⋮ Calculus of archimedean Rankin–Selberg integrals with recurrence relations ⋮ Explicit canonical tensor operators and orthonormal coupling coefficients of SU(3) ⋮ The polynomial-type analysis of SU(3) group-theoretical quantities ⋮ On the Evaluation of the Multiplicity-Free Wigner Coefficients of U(n) ⋮ The invariant polynomials characterizing \(U(n)\) tensor operators \(<p,q,\dots ,p,0,\dots ,0>\) having maximal null space ⋮ On biorthogonal and orthonormal Clebsch–Gordan coefficients of SU(3): Analytical and algebraic approaches ⋮ The triple sum formulas for 9j coefficients of SU(2) and uq(2) ⋮ Representations of the groups Sp(n,R) and Sp(n) in a U(n) basis ⋮ Complementary group resolution of the SU(n) outer multiplicity problem. I. The Littlewood rules and a complementary U(2n−2) group structure ⋮ Complementary group resolution of the SU(n) outer multiplicity problem. II. Recoupling approach for SU(3)⊃U(2) reduced Wigner coefficients ⋮ On the representation of finite transformations of O\(_2\) in the canonical basis of the group O\(_n\) ⋮ Comment on ‘‘The matrix representation of U4 in the U2×U2 basis and isoscalar factors for U p+q⊇U p×U q’’ [F. Pan, J. Math. Phys. 31, 1333 (1990)] ⋮ Summation relation for U(N) Racah coefficients

Cites Work

• A pattern calculus for tensor operators in the unitary groups
• Operators that Lower or Raise the Irreducible Vector Spaces of U n−1 Contained in an Irreducible Vector Space of Un
• On the Representations of the Semisimple Lie Groups. II
• Substitution Group and Mirror Reflection Symmetry in Special Unitary Groups
• Interpretation of the Symmetry of the Clebsch-Gordan Coefficients Discovered by Regge

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