Matrix elements and Wigner coefficients for U q[gl(n)]

DOI10.1063/1.529986zbMath0755.17007OpenAlexW1986444956WikidataQ60732527 ScholiaQ60732527MaRDI QIDQ4008252

A. J. Bracken, Mark D. Gould, J. R. Links

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1063/1.529986

zbMATH Keywords

quantum groupsirreducible representationsquantum algebramatrix elementsClebsch-Gordan coefficientsWigner coefficientscharacteristic identitiesRacah-Wigner calculusreduced Wigner coefficients

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (7)

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] ⋮ Classification of finite dimensional unitary irreps for U q[gl(m‖n)] ⋮ Symmetries of Clebsch–Gordan coefficients of the quantum group U q(n) ⋮ The pattern calculus for tensor operators in quantum groups ⋮ Quantum groups and diagonalization of the braid generator ⋮ Raising and lowering operators for U q (gl(n))

Cites Work

• q-Weyl group and a multiplicative formula for universal R-matrices
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• A quantum group structure in integrable conformal field theories
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantum R matrix for the generalized Toda system
• Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
• Etiology of IRF models
• Gelfand-Zetlin basis for \(U_ q(\mathfrak{gl}(\text{\textbf{N}}+\text{\textbf{1}}))\) modules.
• INTRODUCTION TO THE YANG-BAXTER EQUATION
• Multiplicity-free Wigner coefficients for semisimple Lie groups. I. The U(n) pattern calculus
• Generalized Gel’fand invariants and characteristic identities for quantum groups
• A new approach to the eigenvalues of the Gel’fand invariants for the unitary, orthogonal, and symplectic groups
• On the matrix elements of the U(n) generators
• On the Representations of the Semisimple Lie Groups. II
• Characteristic Identities for Generators of GL(n), O(n) and Sp(n)

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