Multiplicity-free Wigner coefficients for semisimple Lie groups. I. The U(n) pattern calculus
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Publication:3737688
DOI10.1063/1.527013zbMath0602.22013OpenAlexW1989134748WikidataQ60732514 ScholiaQ60732514MaRDI QIDQ3737688
Publication date: 1986
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.527013
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70)
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Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras, Invariants and matrix elements of the quantum group $U_q[gl(n,\mathbb{C})$ revisited], Multiplicity-free Wigner coefficients for semisimple Lie groups. II. A pattern calculus for O(n), Matrix elements and Wigner coefficients for U q[gl(n)], Reduced Wigner coefficients for U q[gl(n)], Relationship between S N and U(n) isoscalar factors and higher-order U(n) invariants, The pattern calculus for tensor operators in quantum groups, Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n), Casimir invariants and characteristic identities for gl(∞), Casimir recursion relations for general conformal blocks, Representation theory of the symplectic groups. I
Cites Work
- Algebraischer Beweis der vollständigen Reduzibilität der Darstellungen halbeinfacher Liescher Gruppen
- Tensor operators and projection techniques in infinite dimensional representations of semi-simple Lie algebras
- Enveloping algebra annihilators and projection techniques for finite-dimensional cyclic modules of a semisimple Lie algebra
- Characteristic identities for semi-simple Lie algebras
- Multiplicity-free Wigner coefficients for semisimple Lie groups. II. A pattern calculus for O(n)
- On an infinitesimal approach to semisimple Lie groups and raising and lowering operators of O(n) and U(n)
- A new approach to the eigenvalues of the Gel’fand invariants for the unitary, orthogonal, and symplectic groups
- On the Weyl coefficients of SO(n)
- Wigner coefficients for a semisimple Lie group and the matrix elements of the O(n) generators
- On the matrix elements of the U(n) generators
- Summation relation for U(N) Racah coefficients
- 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
- Representations of the Orthogonal Group. I. Lowering and Raising Operators of the Orthogonal Group and Matrix Elements of the Generators
- Canonical Definition of Wigner Coefficients in Un
- On the Representations of the Semisimple Lie Groups. V. Some Explicit Wigner Operators for SU3
- Finite-dimensional irreducible representations of the unitary and the full linear groups, and related special functions
- Characteristic Identities for Generators of GL(n), O(n) and Sp(n)
- On the Symmetric Tensor Operators of the Unitary Groups
- On the Evaluation of the Multiplicity-Free Wigner Coefficients of U(n)
- On the structure of the canonical tensor operators in the unitary groups. II. The tensor operators in U(3) characterized by maximal null space
